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Finding the Third Proportional to 347,592 and 761,624

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Solution

The third proportional to 347,592 and 761,624 is: 1,668,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,592 : 761,624 = 761,624 : x
  2. Step 2: Convert to fraction form
    347,592/761,624 = 761,624/x
  3. Step 3: Cross multiply
    347,592x = 761,624 × 761,624
  4. Step 4: Simplify right side
    347,592x = 580,071,117,376
  5. Step 5: Solve for x
    x = 580,071,117,376/347,592
  6. Step 6: Final answer
    x = 1,668,827.58

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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.