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Finding the Third Proportional to 601,224 and 932,214

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Solution

The third proportional to 601,224 and 932,214 is: 1,445,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,224 : 932,214 = 932,214 : x
  2. Step 2: Convert to fraction form
    601,224/932,214 = 932,214/x
  3. Step 3: Cross multiply
    601,224x = 932,214 × 932,214
  4. Step 4: Simplify right side
    601,224x = 869,022,941,796
  5. Step 5: Solve for x
    x = 869,022,941,796/601,224
  6. Step 6: Final answer
    x = 1,445,422.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.