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Finding the Third Proportional to 435,562 and 655,877

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Solution

The third proportional to 435,562 and 655,877 is: 987,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,562 : 655,877 = 655,877 : x
  2. Step 2: Convert to fraction form
    435,562/655,877 = 655,877/x
  3. Step 3: Cross multiply
    435,562x = 655,877 × 655,877
  4. Step 4: Simplify right side
    435,562x = 430,174,639,129
  5. Step 5: Solve for x
    x = 430,174,639,129/435,562
  6. Step 6: Final answer
    x = 987,631.24

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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.