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Finding the Third Proportional to 235,952 and 518,560

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Solution

The third proportional to 235,952 and 518,560 is: 1,139,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,952 : 518,560 = 518,560 : x
  2. Step 2: Convert to fraction form
    235,952/518,560 = 518,560/x
  3. Step 3: Cross multiply
    235,952x = 518,560 × 518,560
  4. Step 4: Simplify right side
    235,952x = 268,904,473,600
  5. Step 5: Solve for x
    x = 268,904,473,600/235,952
  6. Step 6: Final answer
    x = 1,139,657.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.