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Finding the Third Proportional to 545,079 and 763,819.50

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Solution

The third proportional to 545,079 and 763,819.50 is: 1,070,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,079 : 763,819.50 = 763,819.50 : x
  2. Step 2: Convert to fraction form
    545,079/763,819.50 = 763,819.50/x
  3. Step 3: Cross multiply
    545,079x = 763,819.50 × 763,819.50
  4. Step 4: Simplify right side
    545,079x = 583,420,228,580.25
  5. Step 5: Solve for x
    x = 583,420,228,580.25/545,079
  6. Step 6: Final answer
    x = 1,070,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.