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Finding the Third Proportional to 493,624 and 758,397

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Solution

The third proportional to 493,624 and 758,397 is: 1,165,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,624 : 758,397 = 758,397 : x
  2. Step 2: Convert to fraction form
    493,624/758,397 = 758,397/x
  3. Step 3: Cross multiply
    493,624x = 758,397 × 758,397
  4. Step 4: Simplify right side
    493,624x = 575,166,009,609
  5. Step 5: Solve for x
    x = 575,166,009,609/493,624
  6. Step 6: Final answer
    x = 1,165,190.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.