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Finding the Third Proportional to 281,279 and 607,544

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Solution

The third proportional to 281,279 and 607,544 is: 1,312,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,279 : 607,544 = 607,544 : x
  2. Step 2: Convert to fraction form
    281,279/607,544 = 607,544/x
  3. Step 3: Cross multiply
    281,279x = 607,544 × 607,544
  4. Step 4: Simplify right side
    281,279x = 369,109,711,936
  5. Step 5: Solve for x
    x = 369,109,711,936/281,279
  6. Step 6: Final answer
    x = 1,312,254.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.