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Finding the Third Proportional to 251,356.50 and 538,693.88

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Solution

The third proportional to 251,356.50 and 538,693.88 is: 1,154,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,356.50 : 538,693.88 = 538,693.88 : x
  2. Step 2: Convert to fraction form
    251,356.50/538,693.88 = 538,693.88/x
  3. Step 3: Cross multiply
    251,356.50x = 538,693.88 × 538,693.88
  4. Step 4: Simplify right side
    251,356.50x = 290,191,090,962.52
  5. Step 5: Solve for x
    x = 290,191,090,962.52/251,356.50
  6. Step 6: Final answer
    x = 1,154,500.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.