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Finding the Third Proportional to 374,878 and 808,806

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Solution

The third proportional to 374,878 and 808,806 is: 1,745,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,878 : 808,806 = 808,806 : x
  2. Step 2: Convert to fraction form
    374,878/808,806 = 808,806/x
  3. Step 3: Cross multiply
    374,878x = 808,806 × 808,806
  4. Step 4: Simplify right side
    374,878x = 654,167,145,636
  5. Step 5: Solve for x
    x = 654,167,145,636/374,878
  6. Step 6: Final answer
    x = 1,745,013.43

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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.