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Finding the Third Proportional to 372,448 and 803,952

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Solution

The third proportional to 372,448 and 803,952 is: 1,735,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,448 : 803,952 = 803,952 : x
  2. Step 2: Convert to fraction form
    372,448/803,952 = 803,952/x
  3. Step 3: Cross multiply
    372,448x = 803,952 × 803,952
  4. Step 4: Simplify right side
    372,448x = 646,338,818,304
  5. Step 5: Solve for x
    x = 646,338,818,304/372,448
  6. Step 6: Final answer
    x = 1,735,380.02

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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.