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Finding the Third Proportional to 243,508.78 and 532,842.05

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Solution

The third proportional to 243,508.78 and 532,842.05 is: 1,165,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,508.78 : 532,842.05 = 532,842.05 : x
  2. Step 2: Convert to fraction form
    243,508.78/532,842.05 = 532,842.05/x
  3. Step 3: Cross multiply
    243,508.78x = 532,842.05 × 532,842.05
  4. Step 4: Simplify right side
    243,508.78x = 283,920,646,917.94
  5. Step 5: Solve for x
    x = 283,920,646,917.94/243,508.78
  6. Step 6: Final answer
    x = 1,165,956.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.