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Finding the Third Proportional to 316,174 and 746,342

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Solution

The third proportional to 316,174 and 746,342 is: 1,761,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,174 : 746,342 = 746,342 : x
  2. Step 2: Convert to fraction form
    316,174/746,342 = 746,342/x
  3. Step 3: Cross multiply
    316,174x = 746,342 × 746,342
  4. Step 4: Simplify right side
    316,174x = 557,026,380,964
  5. Step 5: Solve for x
    x = 557,026,380,964/316,174
  6. Step 6: Final answer
    x = 1,761,771.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.