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Finding the Third Proportional to 266,612 and 578,420

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Solution

The third proportional to 266,612 and 578,420 is: 1,254,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,612 : 578,420 = 578,420 : x
  2. Step 2: Convert to fraction form
    266,612/578,420 = 578,420/x
  3. Step 3: Cross multiply
    266,612x = 578,420 × 578,420
  4. Step 4: Simplify right side
    266,612x = 334,569,696,400
  5. Step 5: Solve for x
    x = 334,569,696,400/266,612
  6. Step 6: Final answer
    x = 1,254,893.61

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