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Finding the Third Proportional to 295,384 and 647,948

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Solution

The third proportional to 295,384 and 647,948 is: 1,421,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,384 : 647,948 = 647,948 : x
  2. Step 2: Convert to fraction form
    295,384/647,948 = 647,948/x
  3. Step 3: Cross multiply
    295,384x = 647,948 × 647,948
  4. Step 4: Simplify right side
    295,384x = 419,836,610,704
  5. Step 5: Solve for x
    x = 419,836,610,704/295,384
  6. Step 6: Final answer
    x = 1,421,324.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.