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Finding the Third Proportional to 292,126 and 462,174

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Solution

The third proportional to 292,126 and 462,174 is: 731,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,126 : 462,174 = 462,174 : x
  2. Step 2: Convert to fraction form
    292,126/462,174 = 462,174/x
  3. Step 3: Cross multiply
    292,126x = 462,174 × 462,174
  4. Step 4: Simplify right side
    292,126x = 213,604,806,276
  5. Step 5: Solve for x
    x = 213,604,806,276/292,126
  6. Step 6: Final answer
    x = 731,207.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.