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Finding the Third Proportional to 270,992 and 402,560

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Solution

The third proportional to 270,992 and 402,560 is: 598,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,992 : 402,560 = 402,560 : x
  2. Step 2: Convert to fraction form
    270,992/402,560 = 402,560/x
  3. Step 3: Cross multiply
    270,992x = 402,560 × 402,560
  4. Step 4: Simplify right side
    270,992x = 162,054,553,600
  5. Step 5: Solve for x
    x = 162,054,553,600/270,992
  6. Step 6: Final answer
    x = 598,004.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.