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Finding the Third Proportional to 292,134.73 and 437,034.87

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Solution

The third proportional to 292,134.73 and 437,034.87 is: 653,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,134.73 : 437,034.87 = 437,034.87 : x
  2. Step 2: Convert to fraction form
    292,134.73/437,034.87 = 437,034.87/x
  3. Step 3: Cross multiply
    292,134.73x = 437,034.87 × 437,034.87
  4. Step 4: Simplify right side
    292,134.73x = 190,999,475,137.60
  5. Step 5: Solve for x
    x = 190,999,475,137.60/292,134.73
  6. Step 6: Final answer
    x = 653,806.13

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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.