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Finding the Third Proportional to 435,528 and 653,292

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Solution

The third proportional to 435,528 and 653,292 is: 979,938

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,528 : 653,292 = 653,292 : x
  2. Step 2: Convert to fraction form
    435,528/653,292 = 653,292/x
  3. Step 3: Cross multiply
    435,528x = 653,292 × 653,292
  4. Step 4: Simplify right side
    435,528x = 426,790,437,264
  5. Step 5: Solve for x
    x = 426,790,437,264/435,528
  6. Step 6: Final answer
    x = 979,938

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.