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Finding the Third Proportional to 361,252 and 536,658

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Solution

The third proportional to 361,252 and 536,658 is: 797,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,252 : 536,658 = 536,658 : x
  2. Step 2: Convert to fraction form
    361,252/536,658 = 536,658/x
  3. Step 3: Cross multiply
    361,252x = 536,658 × 536,658
  4. Step 4: Simplify right side
    361,252x = 288,001,808,964
  5. Step 5: Solve for x
    x = 288,001,808,964/361,252
  6. Step 6: Final answer
    x = 797,232.43

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