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Finding the Third Proportional to 266,916 and 580,416

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Solution

The third proportional to 266,916 and 580,416 is: 1,262,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,916 : 580,416 = 580,416 : x
  2. Step 2: Convert to fraction form
    266,916/580,416 = 580,416/x
  3. Step 3: Cross multiply
    266,916x = 580,416 × 580,416
  4. Step 4: Simplify right side
    266,916x = 336,882,733,056
  5. Step 5: Solve for x
    x = 336,882,733,056/266,916
  6. Step 6: Final answer
    x = 1,262,130.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.