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Finding the Third Proportional to 372,046 and 807,514

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Solution

The third proportional to 372,046 and 807,514 is: 1,752,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,046 : 807,514 = 807,514 : x
  2. Step 2: Convert to fraction form
    372,046/807,514 = 807,514/x
  3. Step 3: Cross multiply
    372,046x = 807,514 × 807,514
  4. Step 4: Simplify right side
    372,046x = 652,078,860,196
  5. Step 5: Solve for x
    x = 652,078,860,196/372,046
  6. Step 6: Final answer
    x = 1,752,683.43

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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.