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Finding the Third Proportional to 268,544 and 571,072

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Solution

The third proportional to 268,544 and 571,072 is: 1,214,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,544 : 571,072 = 571,072 : x
  2. Step 2: Convert to fraction form
    268,544/571,072 = 571,072/x
  3. Step 3: Cross multiply
    268,544x = 571,072 × 571,072
  4. Step 4: Simplify right side
    268,544x = 326,123,229,184
  5. Step 5: Solve for x
    x = 326,123,229,184/268,544
  6. Step 6: Final answer
    x = 1,214,412.64

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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.