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Finding the Third Proportional to 347,584 and 761,601

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Solution

The third proportional to 347,584 and 761,601 is: 1,668,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,584 : 761,601 = 761,601 : x
  2. Step 2: Convert to fraction form
    347,584/761,601 = 761,601/x
  3. Step 3: Cross multiply
    347,584x = 761,601 × 761,601
  4. Step 4: Simplify right side
    347,584x = 580,036,083,201
  5. Step 5: Solve for x
    x = 580,036,083,201/347,584
  6. Step 6: Final answer
    x = 1,668,765.20

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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.