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Finding the Third Proportional to 374,882 and 808,814

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Solution

The third proportional to 374,882 and 808,814 is: 1,745,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,882 : 808,814 = 808,814 : x
  2. Step 2: Convert to fraction form
    374,882/808,814 = 808,814/x
  3. Step 3: Cross multiply
    374,882x = 808,814 × 808,814
  4. Step 4: Simplify right side
    374,882x = 654,180,086,596
  5. Step 5: Solve for x
    x = 654,180,086,596/374,882
  6. Step 6: Final answer
    x = 1,745,029.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.