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Finding the Third Proportional to 302,572.97 and 713,235.38

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Solution

The third proportional to 302,572.97 and 713,235.38 is: 1,681,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,572.97 : 713,235.38 = 713,235.38 : x
  2. Step 2: Convert to fraction form
    302,572.97/713,235.38 = 713,235.38/x
  3. Step 3: Cross multiply
    302,572.97x = 713,235.38 × 713,235.38
  4. Step 4: Simplify right side
    302,572.97x = 508,704,700,151.39
  5. Step 5: Solve for x
    x = 508,704,700,151.39/302,572.97
  6. Step 6: Final answer
    x = 1,681,262.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.