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Finding the Third Proportional to 268,921.27 and 586,742.48

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Solution

The third proportional to 268,921.27 and 586,742.48 is: 1,280,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,921.27 : 586,742.48 = 586,742.48 : x
  2. Step 2: Convert to fraction form
    268,921.27/586,742.48 = 586,742.48/x
  3. Step 3: Cross multiply
    268,921.27x = 586,742.48 × 586,742.48
  4. Step 4: Simplify right side
    268,921.27x = 344,266,742,970.55
  5. Step 5: Solve for x
    x = 344,266,742,970.55/268,921.27
  6. Step 6: Final answer
    x = 1,280,176.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.