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Finding the Third Proportional to 400,023 and 866,445.75

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Solution

The third proportional to 400,023 and 866,445.75 is: 1,876,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,023 : 866,445.75 = 866,445.75 : x
  2. Step 2: Convert to fraction form
    400,023/866,445.75 = 866,445.75/x
  3. Step 3: Cross multiply
    400,023x = 866,445.75 × 866,445.75
  4. Step 4: Simplify right side
    400,023x = 750,728,237,693.06
  5. Step 5: Solve for x
    x = 750,728,237,693.06/400,023
  6. Step 6: Final answer
    x = 1,876,712.68

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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.