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Finding the Third Proportional to 177,838.88 and 428,587.88

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Solution

The third proportional to 177,838.88 and 428,587.88 is: 1,032,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838.88 : 428,587.88 = 428,587.88 : x
  2. Step 2: Convert to fraction form
    177,838.88/428,587.88 = 428,587.88/x
  3. Step 3: Cross multiply
    177,838.88x = 428,587.88 × 428,587.88
  4. Step 4: Simplify right side
    177,838.88x = 183,687,566,597.02
  5. Step 5: Solve for x
    x = 183,687,566,597.02/177,838.88
  6. Step 6: Final answer
    x = 1,032,887.59

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.