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Finding the Third Proportional to 292,251.38 and 607,462.88

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Solution

The third proportional to 292,251.38 and 607,462.88 is: 1,262,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,251.38 : 607,462.88 = 607,462.88 : x
  2. Step 2: Convert to fraction form
    292,251.38/607,462.88 = 607,462.88/x
  3. Step 3: Cross multiply
    292,251.38x = 607,462.88 × 607,462.88
  4. Step 4: Simplify right side
    292,251.38x = 369,011,144,503.27
  5. Step 5: Solve for x
    x = 369,011,144,503.27/292,251.38
  6. Step 6: Final answer
    x = 1,262,649.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.