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Finding the Third Proportional to 266,726 and 578,650

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Solution

The third proportional to 266,726 and 578,650 is: 1,255,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,726 : 578,650 = 578,650 : x
  2. Step 2: Convert to fraction form
    266,726/578,650 = 578,650/x
  3. Step 3: Cross multiply
    266,726x = 578,650 × 578,650
  4. Step 4: Simplify right side
    266,726x = 334,835,822,500
  5. Step 5: Solve for x
    x = 334,835,822,500/266,726
  6. Step 6: Final answer
    x = 1,255,355.02

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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.