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Finding the Third Proportional to 281,659 and 607,557

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Solution

The third proportional to 281,659 and 607,557 is: 1,310,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,659 : 607,557 = 607,557 : x
  2. Step 2: Convert to fraction form
    281,659/607,557 = 607,557/x
  3. Step 3: Cross multiply
    281,659x = 607,557 × 607,557
  4. Step 4: Simplify right side
    281,659x = 369,125,508,249
  5. Step 5: Solve for x
    x = 369,125,508,249/281,659
  6. Step 6: Final answer
    x = 1,310,540.43

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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.