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Finding the Third Proportional to 266,018 and 574,240

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Solution

The third proportional to 266,018 and 574,240 is: 1,239,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,018 : 574,240 = 574,240 : x
  2. Step 2: Convert to fraction form
    266,018/574,240 = 574,240/x
  3. Step 3: Cross multiply
    266,018x = 574,240 × 574,240
  4. Step 4: Simplify right side
    266,018x = 329,751,577,600
  5. Step 5: Solve for x
    x = 329,751,577,600/266,018
  6. Step 6: Final answer
    x = 1,239,583.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.