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Finding the Third Proportional to 344,520 and 517,141.13

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Solution

The third proportional to 344,520 and 517,141.13 is: 776,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,520 : 517,141.13 = 517,141.13 : x
  2. Step 2: Convert to fraction form
    344,520/517,141.13 = 517,141.13/x
  3. Step 3: Cross multiply
    344,520x = 517,141.13 × 517,141.13
  4. Step 4: Simplify right side
    344,520x = 267,434,943,166.27
  5. Step 5: Solve for x
    x = 267,434,943,166.27/344,520
  6. Step 6: Final answer
    x = 776,253.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.