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Finding the Third Proportional to 513,479.25 and 751,204.13

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Solution

The third proportional to 513,479.25 and 751,204.13 is: 1,098,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,479.25 : 751,204.13 = 751,204.13 : x
  2. Step 2: Convert to fraction form
    513,479.25/751,204.13 = 751,204.13/x
  3. Step 3: Cross multiply
    513,479.25x = 751,204.13 × 751,204.13
  4. Step 4: Simplify right side
    513,479.25x = 564,307,637,417.02
  5. Step 5: Solve for x
    x = 564,307,637,417.02/513,479.25
  6. Step 6: Final answer
    x = 1,098,988.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.