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Finding the Third Proportional to 259,552 and 552,560

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Solution

The third proportional to 259,552 and 552,560 is: 1,176,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,552 : 552,560 = 552,560 : x
  2. Step 2: Convert to fraction form
    259,552/552,560 = 552,560/x
  3. Step 3: Cross multiply
    259,552x = 552,560 × 552,560
  4. Step 4: Simplify right side
    259,552x = 305,322,553,600
  5. Step 5: Solve for x
    x = 305,322,553,600/259,552
  6. Step 6: Final answer
    x = 1,176,344.45

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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.