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Finding the Third Proportional to 343,275.75 and 499,330.13

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Solution

The third proportional to 343,275.75 and 499,330.13 is: 726,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,275.75 : 499,330.13 = 499,330.13 : x
  2. Step 2: Convert to fraction form
    343,275.75/499,330.13 = 499,330.13/x
  3. Step 3: Cross multiply
    343,275.75x = 499,330.13 × 499,330.13
  4. Step 4: Simplify right side
    343,275.75x = 249,330,573,732.52
  5. Step 5: Solve for x
    x = 249,330,573,732.52/343,275.75
  6. Step 6: Final answer
    x = 726,327.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.