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Finding the Third Proportional to 270,146 and 576,748

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Solution

The third proportional to 270,146 and 576,748 is: 1,231,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,146 : 576,748 = 576,748 : x
  2. Step 2: Convert to fraction form
    270,146/576,748 = 576,748/x
  3. Step 3: Cross multiply
    270,146x = 576,748 × 576,748
  4. Step 4: Simplify right side
    270,146x = 332,638,255,504
  5. Step 5: Solve for x
    x = 332,638,255,504/270,146
  6. Step 6: Final answer
    x = 1,231,327.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.