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Finding the Third Proportional to 577,905.75 and 766,819.13

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Solution

The third proportional to 577,905.75 and 766,819.13 is: 1,017,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,905.75 : 766,819.13 = 766,819.13 : x
  2. Step 2: Convert to fraction form
    577,905.75/766,819.13 = 766,819.13/x
  3. Step 3: Cross multiply
    577,905.75x = 766,819.13 × 766,819.13
  4. Step 4: Simplify right side
    577,905.75x = 588,011,570,465.77
  5. Step 5: Solve for x
    x = 588,011,570,465.77/577,905.75
  6. Step 6: Final answer
    x = 1,017,486.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.