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Finding the Third Proportional to 327,612.38 and 715,839.75

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Solution

The third proportional to 327,612.38 and 715,839.75 is: 1,564,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,612.38 : 715,839.75 = 715,839.75 : x
  2. Step 2: Convert to fraction form
    327,612.38/715,839.75 = 715,839.75/x
  3. Step 3: Cross multiply
    327,612.38x = 715,839.75 × 715,839.75
  4. Step 4: Simplify right side
    327,612.38x = 512,426,547,680.06
  5. Step 5: Solve for x
    x = 512,426,547,680.06/327,612.38
  6. Step 6: Final answer
    x = 1,564,124.52

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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.