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Finding the Third Proportional to 292,092.75 and 441,298.13

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Solution

The third proportional to 292,092.75 and 441,298.13 is: 666,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,092.75 : 441,298.13 = 441,298.13 : x
  2. Step 2: Convert to fraction form
    292,092.75/441,298.13 = 441,298.13/x
  3. Step 3: Cross multiply
    292,092.75x = 441,298.13 × 441,298.13
  4. Step 4: Simplify right side
    292,092.75x = 194,744,035,128.52
  5. Step 5: Solve for x
    x = 194,744,035,128.52/292,092.75
  6. Step 6: Final answer
    x = 666,719.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.