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Finding the Third Proportional to 347,414 and 761,328

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Solution

The third proportional to 347,414 and 761,328 is: 1,668,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,414 : 761,328 = 761,328 : x
  2. Step 2: Convert to fraction form
    347,414/761,328 = 761,328/x
  3. Step 3: Cross multiply
    347,414x = 761,328 × 761,328
  4. Step 4: Simplify right side
    347,414x = 579,620,323,584
  5. Step 5: Solve for x
    x = 579,620,323,584/347,414
  6. Step 6: Final answer
    x = 1,668,385.05

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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.