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Finding the Third Proportional to 387,177.25 and 544,258.25

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Solution

The third proportional to 387,177.25 and 544,258.25 is: 765,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,177.25 : 544,258.25 = 544,258.25 : x
  2. Step 2: Convert to fraction form
    387,177.25/544,258.25 = 544,258.25/x
  3. Step 3: Cross multiply
    387,177.25x = 544,258.25 × 544,258.25
  4. Step 4: Simplify right side
    387,177.25x = 296,217,042,693.06
  5. Step 5: Solve for x
    x = 296,217,042,693.06/387,177.25
  6. Step 6: Final answer
    x = 765,068.31

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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.