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Finding the Third Proportional to 334,752.75 and 502,858.13

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Solution

The third proportional to 334,752.75 and 502,858.13 is: 755,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,752.75 : 502,858.13 = 502,858.13 : x
  2. Step 2: Convert to fraction form
    334,752.75/502,858.13 = 502,858.13/x
  3. Step 3: Cross multiply
    334,752.75x = 502,858.13 × 502,858.13
  4. Step 4: Simplify right side
    334,752.75x = 252,866,293,878.52
  5. Step 5: Solve for x
    x = 252,866,293,878.52/334,752.75
  6. Step 6: Final answer
    x = 755,382.28

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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.