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Finding the Third Proportional to 266,079 and 591,207

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Solution

The third proportional to 266,079 and 591,207 is: 1,313,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,079 : 591,207 = 591,207 : x
  2. Step 2: Convert to fraction form
    266,079/591,207 = 591,207/x
  3. Step 3: Cross multiply
    266,079x = 591,207 × 591,207
  4. Step 4: Simplify right side
    266,079x = 349,525,716,849
  5. Step 5: Solve for x
    x = 349,525,716,849/266,079
  6. Step 6: Final answer
    x = 1,313,616.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.