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Finding the Third Proportional to 307,846 and 462,670

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Solution

The third proportional to 307,846 and 462,670 is: 695,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,846 : 462,670 = 462,670 : x
  2. Step 2: Convert to fraction form
    307,846/462,670 = 462,670/x
  3. Step 3: Cross multiply
    307,846x = 462,670 × 462,670
  4. Step 4: Simplify right side
    307,846x = 214,063,528,900
  5. Step 5: Solve for x
    x = 214,063,528,900/307,846
  6. Step 6: Final answer
    x = 695,359.14

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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.