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Finding the Third Proportional to 347,564 and 761,558

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Solution

The third proportional to 347,564 and 761,558 is: 1,668,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,564 : 761,558 = 761,558 : x
  2. Step 2: Convert to fraction form
    347,564/761,558 = 761,558/x
  3. Step 3: Cross multiply
    347,564x = 761,558 × 761,558
  4. Step 4: Simplify right side
    347,564x = 579,970,587,364
  5. Step 5: Solve for x
    x = 579,970,587,364/347,564
  6. Step 6: Final answer
    x = 1,668,672.78

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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.