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Finding the Third Proportional to 531,526.43 and 801,646.56

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Solution

The third proportional to 531,526.43 and 801,646.56 is: 1,209,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,526.43 : 801,646.56 = 801,646.56 : x
  2. Step 2: Convert to fraction form
    531,526.43/801,646.56 = 801,646.56/x
  3. Step 3: Cross multiply
    531,526.43x = 801,646.56 × 801,646.56
  4. Step 4: Simplify right side
    531,526.43x = 642,637,204,905.20
  5. Step 5: Solve for x
    x = 642,637,204,905.20/531,526.43
  6. Step 6: Final answer
    x = 1,209,040.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.