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Finding the Third Proportional to 449,583 and 696,087

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Solution

The third proportional to 449,583 and 696,087 is: 1,077,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,583 : 696,087 = 696,087 : x
  2. Step 2: Convert to fraction form
    449,583/696,087 = 696,087/x
  3. Step 3: Cross multiply
    449,583x = 696,087 × 696,087
  4. Step 4: Simplify right side
    449,583x = 484,537,111,569
  5. Step 5: Solve for x
    x = 484,537,111,569/449,583
  6. Step 6: Final answer
    x = 1,077,747.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.