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Finding the Third Proportional to 546,739 and 769,586

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Solution

The third proportional to 546,739 and 769,586 is: 1,083,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,739 : 769,586 = 769,586 : x
  2. Step 2: Convert to fraction form
    546,739/769,586 = 769,586/x
  3. Step 3: Cross multiply
    546,739x = 769,586 × 769,586
  4. Step 4: Simplify right side
    546,739x = 592,262,611,396
  5. Step 5: Solve for x
    x = 592,262,611,396/546,739
  6. Step 6: Final answer
    x = 1,083,263.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.