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Finding the Third Proportional to 565,630 and 791,203

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Solution

The third proportional to 565,630 and 791,203 is: 1,106,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,630 : 791,203 = 791,203 : x
  2. Step 2: Convert to fraction form
    565,630/791,203 = 791,203/x
  3. Step 3: Cross multiply
    565,630x = 791,203 × 791,203
  4. Step 4: Simplify right side
    565,630x = 626,002,187,209
  5. Step 5: Solve for x
    x = 626,002,187,209/565,630
  6. Step 6: Final answer
    x = 1,106,734.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.