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Finding the Third Proportional to 293,456.25 and 466,448.63

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Solution

The third proportional to 293,456.25 and 466,448.63 is: 741,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,456.25 : 466,448.63 = 466,448.63 : x
  2. Step 2: Convert to fraction form
    293,456.25/466,448.63 = 466,448.63/x
  3. Step 3: Cross multiply
    293,456.25x = 466,448.63 × 466,448.63
  4. Step 4: Simplify right side
    293,456.25x = 217,574,319,764.39
  5. Step 5: Solve for x
    x = 217,574,319,764.39/293,456.25
  6. Step 6: Final answer
    x = 741,419.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.