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Finding the Third Proportional to 378,596 and 564,613

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Solution

The third proportional to 378,596 and 564,613 is: 842,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,596 : 564,613 = 564,613 : x
  2. Step 2: Convert to fraction form
    378,596/564,613 = 564,613/x
  3. Step 3: Cross multiply
    378,596x = 564,613 × 564,613
  4. Step 4: Simplify right side
    378,596x = 318,787,839,769
  5. Step 5: Solve for x
    x = 318,787,839,769/378,596
  6. Step 6: Final answer
    x = 842,026.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.