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Finding the Third Proportional to 378,049 and 598,913

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Solution

The third proportional to 378,049 and 598,913 is: 948,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,049 : 598,913 = 598,913 : x
  2. Step 2: Convert to fraction form
    378,049/598,913 = 598,913/x
  3. Step 3: Cross multiply
    378,049x = 598,913 × 598,913
  4. Step 4: Simplify right side
    378,049x = 358,696,781,569
  5. Step 5: Solve for x
    x = 358,696,781,569/378,049
  6. Step 6: Final answer
    x = 948,810.29

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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.