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Finding the Third Proportional to 565,113 and 847,670

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Solution

The third proportional to 565,113 and 847,670 is: 1,271,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,113 : 847,670 = 847,670 : x
  2. Step 2: Convert to fraction form
    565,113/847,670 = 847,670/x
  3. Step 3: Cross multiply
    565,113x = 847,670 × 847,670
  4. Step 4: Simplify right side
    565,113x = 718,544,428,900
  5. Step 5: Solve for x
    x = 718,544,428,900/565,113
  6. Step 6: Final answer
    x = 1,271,505.75

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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.