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Finding the Third Proportional to 612,327 and 965,448

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Solution

The third proportional to 612,327 and 965,448 is: 1,522,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,327 : 965,448 = 965,448 : x
  2. Step 2: Convert to fraction form
    612,327/965,448 = 965,448/x
  3. Step 3: Cross multiply
    612,327x = 965,448 × 965,448
  4. Step 4: Simplify right side
    612,327x = 932,089,840,704
  5. Step 5: Solve for x
    x = 932,089,840,704/612,327
  6. Step 6: Final answer
    x = 1,522,209.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.