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Finding the Third Proportional to 369,650 and 557,103

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Solution

The third proportional to 369,650 and 557,103 is: 839,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,650 : 557,103 = 557,103 : x
  2. Step 2: Convert to fraction form
    369,650/557,103 = 557,103/x
  3. Step 3: Cross multiply
    369,650x = 557,103 × 557,103
  4. Step 4: Simplify right side
    369,650x = 310,363,752,609
  5. Step 5: Solve for x
    x = 310,363,752,609/369,650
  6. Step 6: Final answer
    x = 839,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.