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Finding the Third Proportional to 372,343.50 and 803,746.13

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Solution

The third proportional to 372,343.50 and 803,746.13 is: 1,734,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,343.50 : 803,746.13 = 803,746.13 : x
  2. Step 2: Convert to fraction form
    372,343.50/803,746.13 = 803,746.13/x
  3. Step 3: Cross multiply
    372,343.50x = 803,746.13 × 803,746.13
  4. Step 4: Simplify right side
    372,343.50x = 646,007,833,452.52
  5. Step 5: Solve for x
    x = 646,007,833,452.52/372,343.50
  6. Step 6: Final answer
    x = 1,734,978.14

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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.