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Finding the Third Proportional to 373,932 and 810,952

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Solution

The third proportional to 373,932 and 810,952 is: 1,758,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,932 : 810,952 = 810,952 : x
  2. Step 2: Convert to fraction form
    373,932/810,952 = 810,952/x
  3. Step 3: Cross multiply
    373,932x = 810,952 × 810,952
  4. Step 4: Simplify right side
    373,932x = 657,643,146,304
  5. Step 5: Solve for x
    x = 657,643,146,304/373,932
  6. Step 6: Final answer
    x = 1,758,723.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.