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Finding the Third Proportional to 350,437 and 532,581

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Solution

The third proportional to 350,437 and 532,581 is: 809,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,437 : 532,581 = 532,581 : x
  2. Step 2: Convert to fraction form
    350,437/532,581 = 532,581/x
  3. Step 3: Cross multiply
    350,437x = 532,581 × 532,581
  4. Step 4: Simplify right side
    350,437x = 283,642,521,561
  5. Step 5: Solve for x
    x = 283,642,521,561/350,437
  6. Step 6: Final answer
    x = 809,396.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.