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Finding the Third Proportional to 292,425.38 and 428,499.38

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Solution

The third proportional to 292,425.38 and 428,499.38 is: 627,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,425.38 : 428,499.38 = 428,499.38 : x
  2. Step 2: Convert to fraction form
    292,425.38/428,499.38 = 428,499.38/x
  3. Step 3: Cross multiply
    292,425.38x = 428,499.38 × 428,499.38
  4. Step 4: Simplify right side
    292,425.38x = 183,611,714,375.39
  5. Step 5: Solve for x
    x = 183,611,714,375.39/292,425.38
  6. Step 6: Final answer
    x = 627,892.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.