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Finding the Third Proportional to 411,568.13 and 614,253.75

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Solution

The third proportional to 411,568.13 and 614,253.75 is: 916,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,568.13 : 614,253.75 = 614,253.75 : x
  2. Step 2: Convert to fraction form
    411,568.13/614,253.75 = 614,253.75/x
  3. Step 3: Cross multiply
    411,568.13x = 614,253.75 × 614,253.75
  4. Step 4: Simplify right side
    411,568.13x = 377,307,669,389.06
  5. Step 5: Solve for x
    x = 377,307,669,389.06/411,568.13
  6. Step 6: Final answer
    x = 916,756.29

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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.