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Finding the Third Proportional to 347,557 and 761,542

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Solution

The third proportional to 347,557 and 761,542 is: 1,668,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,557 : 761,542 = 761,542 : x
  2. Step 2: Convert to fraction form
    347,557/761,542 = 761,542/x
  3. Step 3: Cross multiply
    347,557x = 761,542 × 761,542
  4. Step 4: Simplify right side
    347,557x = 579,946,217,764
  5. Step 5: Solve for x
    x = 579,946,217,764/347,557
  6. Step 6: Final answer
    x = 1,668,636.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.