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Finding the Third Proportional to 292,670 and 437,751

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Solution

The third proportional to 292,670 and 437,751 is: 654,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,670 : 437,751 = 437,751 : x
  2. Step 2: Convert to fraction form
    292,670/437,751 = 437,751/x
  3. Step 3: Cross multiply
    292,670x = 437,751 × 437,751
  4. Step 4: Simplify right side
    292,670x = 191,625,938,001
  5. Step 5: Solve for x
    x = 191,625,938,001/292,670
  6. Step 6: Final answer
    x = 654,750.87

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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.