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Finding the Third Proportional to 309,997.13 and 469,665.84

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Solution

The third proportional to 309,997.13 and 469,665.84 is: 711,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997.13 : 469,665.84 = 469,665.84 : x
  2. Step 2: Convert to fraction form
    309,997.13/469,665.84 = 469,665.84/x
  3. Step 3: Cross multiply
    309,997.13x = 469,665.84 × 469,665.84
  4. Step 4: Simplify right side
    309,997.13x = 220,586,004,785.40
  5. Step 5: Solve for x
    x = 220,586,004,785.40/309,997.13
  6. Step 6: Final answer
    x = 711,574.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.