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Finding the Third Proportional to 429,258.38 and 932,324.63

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Solution

The third proportional to 429,258.38 and 932,324.63 is: 2,024,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,258.38 : 932,324.63 = 932,324.63 : x
  2. Step 2: Convert to fraction form
    429,258.38/932,324.63 = 932,324.63/x
  3. Step 3: Cross multiply
    429,258.38x = 932,324.63 × 932,324.63
  4. Step 4: Simplify right side
    429,258.38x = 869,229,206,381.39
  5. Step 5: Solve for x
    x = 869,229,206,381.39/429,258.38
  6. Step 6: Final answer
    x = 2,024,955.73

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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.