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Finding the Third Proportional to 347,114 and 554,294

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Solution

The third proportional to 347,114 and 554,294 is: 885,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,114 : 554,294 = 554,294 : x
  2. Step 2: Convert to fraction form
    347,114/554,294 = 554,294/x
  3. Step 3: Cross multiply
    347,114x = 554,294 × 554,294
  4. Step 4: Simplify right side
    347,114x = 307,241,838,436
  5. Step 5: Solve for x
    x = 307,241,838,436/347,114
  6. Step 6: Final answer
    x = 885,132.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.