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Finding the Third Proportional to 411,571.13 and 614,258.44

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Solution

The third proportional to 411,571.13 and 614,258.44 is: 916,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,571.13 : 614,258.44 = 614,258.44 : x
  2. Step 2: Convert to fraction form
    411,571.13/614,258.44 = 614,258.44/x
  3. Step 3: Cross multiply
    411,571.13x = 614,258.44 × 614,258.44
  4. Step 4: Simplify right side
    411,571.13x = 377,313,428,039.94
  5. Step 5: Solve for x
    x = 377,313,428,039.94/411,571.13
  6. Step 6: Final answer
    x = 916,763.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.