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Finding the Third Proportional to 387,225.56 and 544,335.19

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Solution

The third proportional to 387,225.56 and 544,335.19 is: 765,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,225.56 : 544,335.19 = 544,335.19 : x
  2. Step 2: Convert to fraction form
    387,225.56/544,335.19 = 544,335.19/x
  3. Step 3: Cross multiply
    387,225.56x = 544,335.19 × 544,335.19
  4. Step 4: Simplify right side
    387,225.56x = 296,300,796,350.66
  5. Step 5: Solve for x
    x = 296,300,796,350.66/387,225.56
  6. Step 6: Final answer
    x = 765,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.