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Finding the Third Proportional to 372,238 and 807,466

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Solution

The third proportional to 372,238 and 807,466 is: 1,751,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,238 : 807,466 = 807,466 : x
  2. Step 2: Convert to fraction form
    372,238/807,466 = 807,466/x
  3. Step 3: Cross multiply
    372,238x = 807,466 × 807,466
  4. Step 4: Simplify right side
    372,238x = 652,001,341,156
  5. Step 5: Solve for x
    x = 652,001,341,156/372,238
  6. Step 6: Final answer
    x = 1,751,571.15

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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.