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Finding the Third Proportional to 281,186 and 607,338

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Solution

The third proportional to 281,186 and 607,338 is: 1,311,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,186 : 607,338 = 607,338 : x
  2. Step 2: Convert to fraction form
    281,186/607,338 = 607,338/x
  3. Step 3: Cross multiply
    281,186x = 607,338 × 607,338
  4. Step 4: Simplify right side
    281,186x = 368,859,446,244
  5. Step 5: Solve for x
    x = 368,859,446,244/281,186
  6. Step 6: Final answer
    x = 1,311,798.76

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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.