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Finding the Third Proportional to 372,314.81 and 803,680.31

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Solution

The third proportional to 372,314.81 and 803,680.31 is: 1,734,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,314.81 : 803,680.31 = 803,680.31 : x
  2. Step 2: Convert to fraction form
    372,314.81/803,680.31 = 803,680.31/x
  3. Step 3: Cross multiply
    372,314.81x = 803,680.31 × 803,680.31
  4. Step 4: Simplify right side
    372,314.81x = 645,902,044,700.10
  5. Step 5: Solve for x
    x = 645,902,044,700.10/372,314.81
  6. Step 6: Final answer
    x = 1,734,827.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.