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Finding the Third Proportional to 344,810.25 and 517,681.13

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Solution

The third proportional to 344,810.25 and 517,681.13 is: 777,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,810.25 : 517,681.13 = 517,681.13 : x
  2. Step 2: Convert to fraction form
    344,810.25/517,681.13 = 517,681.13/x
  3. Step 3: Cross multiply
    344,810.25x = 517,681.13 × 517,681.13
  4. Step 4: Simplify right side
    344,810.25x = 267,993,747,181.27
  5. Step 5: Solve for x
    x = 267,993,747,181.27/344,810.25
  6. Step 6: Final answer
    x = 777,220.94

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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.