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Finding the Third Proportional to 435,584 and 653,375

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Solution

The third proportional to 435,584 and 653,375 is: 980,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,584 : 653,375 = 653,375 : x
  2. Step 2: Convert to fraction form
    435,584/653,375 = 653,375/x
  3. Step 3: Cross multiply
    435,584x = 653,375 × 653,375
  4. Step 4: Simplify right side
    435,584x = 426,898,890,625
  5. Step 5: Solve for x
    x = 426,898,890,625/435,584
  6. Step 6: Final answer
    x = 980,061.00

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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.