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Finding the Third Proportional to 349,387.50 and 744,531

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Solution

The third proportional to 349,387.50 and 744,531 is: 1,586,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,387.50 : 744,531 = 744,531 : x
  2. Step 2: Convert to fraction form
    349,387.50/744,531 = 744,531/x
  3. Step 3: Cross multiply
    349,387.50x = 744,531 × 744,531
  4. Step 4: Simplify right side
    349,387.50x = 554,326,409,961
  5. Step 5: Solve for x
    x = 554,326,409,961/349,387.50
  6. Step 6: Final answer
    x = 1,586,566.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.