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Finding the Third Proportional to 347,748 and 761,996

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Solution

The third proportional to 347,748 and 761,996 is: 1,669,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,748 : 761,996 = 761,996 : x
  2. Step 2: Convert to fraction form
    347,748/761,996 = 761,996/x
  3. Step 3: Cross multiply
    347,748x = 761,996 × 761,996
  4. Step 4: Simplify right side
    347,748x = 580,637,904,016
  5. Step 5: Solve for x
    x = 580,637,904,016/347,748
  6. Step 6: Final answer
    x = 1,669,708.82

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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.