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Finding the Third Proportional to 534,295,819.50 and 817,333,374.75

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Solution

The third proportional to 534,295,819.50 and 817,333,374.75 is: 1,250,307,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,295,819.50 : 817,333,374.75 = 817,333,374.75 : x
  2. Step 2: Convert to fraction form
    534,295,819.50/817,333,374.75 = 817,333,374.75/x
  3. Step 3: Cross multiply
    534,295,819.50x = 817,333,374.75 × 817,333,374.75
  4. Step 4: Simplify right side
    534,295,819.50x = 668,033,845,480,224,000
  5. Step 5: Solve for x
    x = 668,033,845,480,224,000/534,295,819.50
  6. Step 6: Final answer
    x = 1,250,307,079.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.