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Finding the Third Proportional to 235,260 and 555,282

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Solution

The third proportional to 235,260 and 555,282 is: 1,310,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,260 : 555,282 = 555,282 : x
  2. Step 2: Convert to fraction form
    235,260/555,282 = 555,282/x
  3. Step 3: Cross multiply
    235,260x = 555,282 × 555,282
  4. Step 4: Simplify right side
    235,260x = 308,338,099,524
  5. Step 5: Solve for x
    x = 308,338,099,524/235,260
  6. Step 6: Final answer
    x = 1,310,626.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.