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Finding the Third Proportional to 361,919 and 714,755

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Solution

The third proportional to 361,919 and 714,755 is: 1,411,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,919 : 714,755 = 714,755 : x
  2. Step 2: Convert to fraction form
    361,919/714,755 = 714,755/x
  3. Step 3: Cross multiply
    361,919x = 714,755 × 714,755
  4. Step 4: Simplify right side
    361,919x = 510,874,710,025
  5. Step 5: Solve for x
    x = 510,874,710,025/361,919
  6. Step 6: Final answer
    x = 1,411,571.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.