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Finding the Third Proportional to 318,240.84 and 686,304.28

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Solution

The third proportional to 318,240.84 and 686,304.28 is: 1,480,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,240.84 : 686,304.28 = 686,304.28 : x
  2. Step 2: Convert to fraction form
    318,240.84/686,304.28 = 686,304.28/x
  3. Step 3: Cross multiply
    318,240.84x = 686,304.28 × 686,304.28
  4. Step 4: Simplify right side
    318,240.84x = 471,013,566,462.08
  5. Step 5: Solve for x
    x = 471,013,566,462.08/318,240.84
  6. Step 6: Final answer
    x = 1,480,053.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.