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Finding the Third Proportional to 333,713.25 and 517,154.63

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Solution

The third proportional to 333,713.25 and 517,154.63 is: 801,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,713.25 : 517,154.63 = 517,154.63 : x
  2. Step 2: Convert to fraction form
    333,713.25/517,154.63 = 517,154.63/x
  3. Step 3: Cross multiply
    333,713.25x = 517,154.63 × 517,154.63
  4. Step 4: Simplify right side
    333,713.25x = 267,448,906,158.89
  5. Step 5: Solve for x
    x = 267,448,906,158.89/333,713.25
  6. Step 6: Final answer
    x = 801,433.28

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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.