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Finding the Third Proportional to 467,935.50 and 517,143

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Solution

The third proportional to 467,935.50 and 517,143 is: 571,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,935.50 : 517,143 = 517,143 : x
  2. Step 2: Convert to fraction form
    467,935.50/517,143 = 517,143/x
  3. Step 3: Cross multiply
    467,935.50x = 517,143 × 517,143
  4. Step 4: Simplify right side
    467,935.50x = 267,436,882,449
  5. Step 5: Solve for x
    x = 267,436,882,449/467,935.50
  6. Step 6: Final answer
    x = 571,525.10

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.