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Finding the Third Proportional to 417,878 and 902,254

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Solution

The third proportional to 417,878 and 902,254 is: 1,948,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,878 : 902,254 = 902,254 : x
  2. Step 2: Convert to fraction form
    417,878/902,254 = 902,254/x
  3. Step 3: Cross multiply
    417,878x = 902,254 × 902,254
  4. Step 4: Simplify right side
    417,878x = 814,062,280,516
  5. Step 5: Solve for x
    x = 814,062,280,516/417,878
  6. Step 6: Final answer
    x = 1,948,086.00

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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.