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Finding the Third Proportional to 531,736 and 758,432

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Solution

The third proportional to 531,736 and 758,432 is: 1,081,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,736 : 758,432 = 758,432 : x
  2. Step 2: Convert to fraction form
    531,736/758,432 = 758,432/x
  3. Step 3: Cross multiply
    531,736x = 758,432 × 758,432
  4. Step 4: Simplify right side
    531,736x = 575,219,098,624
  5. Step 5: Solve for x
    x = 575,219,098,624/531,736
  6. Step 6: Final answer
    x = 1,081,775.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.