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Finding the Third Proportional to 372,642 and 808,308

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Solution

The third proportional to 372,642 and 808,308 is: 1,753,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,642 : 808,308 = 808,308 : x
  2. Step 2: Convert to fraction form
    372,642/808,308 = 808,308/x
  3. Step 3: Cross multiply
    372,642x = 808,308 × 808,308
  4. Step 4: Simplify right side
    372,642x = 653,361,822,864
  5. Step 5: Solve for x
    x = 653,361,822,864/372,642
  6. Step 6: Final answer
    x = 1,753,323.09

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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.