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Finding the Third Proportional to 466,282.13 and 741,459.94

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Solution

The third proportional to 466,282.13 and 741,459.94 is: 1,179,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,282.13 : 741,459.94 = 741,459.94 : x
  2. Step 2: Convert to fraction form
    466,282.13/741,459.94 = 741,459.94/x
  3. Step 3: Cross multiply
    466,282.13x = 741,459.94 × 741,459.94
  4. Step 4: Simplify right side
    466,282.13x = 549,762,838,917.50
  5. Step 5: Solve for x
    x = 549,762,838,917.50/466,282.13
  6. Step 6: Final answer
    x = 1,179,034.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.