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Finding the Third Proportional to 442,518 and 703,593

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Solution

The third proportional to 442,518 and 703,593 is: 1,118,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,518 : 703,593 = 703,593 : x
  2. Step 2: Convert to fraction form
    442,518/703,593 = 703,593/x
  3. Step 3: Cross multiply
    442,518x = 703,593 × 703,593
  4. Step 4: Simplify right side
    442,518x = 495,043,109,649
  5. Step 5: Solve for x
    x = 495,043,109,649/442,518
  6. Step 6: Final answer
    x = 1,118,695.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.