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Finding the Third Proportional to 266,490 and 410,026

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Solution

The third proportional to 266,490 and 410,026 is: 630,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,490 : 410,026 = 410,026 : x
  2. Step 2: Convert to fraction form
    266,490/410,026 = 410,026/x
  3. Step 3: Cross multiply
    266,490x = 410,026 × 410,026
  4. Step 4: Simplify right side
    266,490x = 168,121,320,676
  5. Step 5: Solve for x
    x = 168,121,320,676/266,490
  6. Step 6: Final answer
    x = 630,872.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.