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Finding the Third Proportional to 268,332.75 and 417,079.13

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Solution

The third proportional to 268,332.75 and 417,079.13 is: 648,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,332.75 : 417,079.13 = 417,079.13 : x
  2. Step 2: Convert to fraction form
    268,332.75/417,079.13 = 417,079.13/x
  3. Step 3: Cross multiply
    268,332.75x = 417,079.13 × 417,079.13
  4. Step 4: Simplify right side
    268,332.75x = 173,954,996,510.77
  5. Step 5: Solve for x
    x = 173,954,996,510.77/268,332.75
  6. Step 6: Final answer
    x = 648,280.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.