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Finding the Third Proportional to 315,174 and 471,654

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Solution

The third proportional to 315,174 and 471,654 is: 705,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,174 : 471,654 = 471,654 : x
  2. Step 2: Convert to fraction form
    315,174/471,654 = 471,654/x
  3. Step 3: Cross multiply
    315,174x = 471,654 × 471,654
  4. Step 4: Simplify right side
    315,174x = 222,457,495,716
  5. Step 5: Solve for x
    x = 222,457,495,716/315,174
  6. Step 6: Final answer
    x = 705,824.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.