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Finding the Third Proportional to 372,040 and 807,502

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Solution

The third proportional to 372,040 and 807,502 is: 1,752,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,040 : 807,502 = 807,502 : x
  2. Step 2: Convert to fraction form
    372,040/807,502 = 807,502/x
  3. Step 3: Cross multiply
    372,040x = 807,502 × 807,502
  4. Step 4: Simplify right side
    372,040x = 652,059,480,004
  5. Step 5: Solve for x
    x = 652,059,480,004/372,040
  6. Step 6: Final answer
    x = 1,752,659.61

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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.