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Finding the Third Proportional to 565,202 and 847,812

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Solution

The third proportional to 565,202 and 847,812 is: 1,271,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,202 : 847,812 = 847,812 : x
  2. Step 2: Convert to fraction form
    565,202/847,812 = 847,812/x
  3. Step 3: Cross multiply
    565,202x = 847,812 × 847,812
  4. Step 4: Simplify right side
    565,202x = 718,785,187,344
  5. Step 5: Solve for x
    x = 718,785,187,344/565,202
  6. Step 6: Final answer
    x = 1,271,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.