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Finding the Third Proportional to 546,727 and 769,570

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Solution

The third proportional to 546,727 and 769,570 is: 1,083,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,727 : 769,570 = 769,570 : x
  2. Step 2: Convert to fraction form
    546,727/769,570 = 769,570/x
  3. Step 3: Cross multiply
    546,727x = 769,570 × 769,570
  4. Step 4: Simplify right side
    546,727x = 592,237,984,900
  5. Step 5: Solve for x
    x = 592,237,984,900/546,727
  6. Step 6: Final answer
    x = 1,083,242.61

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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.