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Finding the Third Proportional to 310,933.69 and 674,355.38

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Solution

The third proportional to 310,933.69 and 674,355.38 is: 1,462,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,933.69 : 674,355.38 = 674,355.38 : x
  2. Step 2: Convert to fraction form
    310,933.69/674,355.38 = 674,355.38/x
  3. Step 3: Cross multiply
    310,933.69x = 674,355.38 × 674,355.38
  4. Step 4: Simplify right side
    310,933.69x = 454,755,171,791.39
  5. Step 5: Solve for x
    x = 454,755,171,791.39/310,933.69
  6. Step 6: Final answer
    x = 1,462,547.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.