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Finding the Third Proportional to 344,678.50 and 517,382.50

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Solution

The third proportional to 344,678.50 and 517,382.50 is: 776,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,678.50 : 517,382.50 = 517,382.50 : x
  2. Step 2: Convert to fraction form
    344,678.50/517,382.50 = 517,382.50/x
  3. Step 3: Cross multiply
    344,678.50x = 517,382.50 × 517,382.50
  4. Step 4: Simplify right side
    344,678.50x = 267,684,651,306.25
  5. Step 5: Solve for x
    x = 267,684,651,306.25/344,678.50
  6. Step 6: Final answer
    x = 776,621.26

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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.