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Finding the Third Proportional to 266,521 and 575,713

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Solution

The third proportional to 266,521 and 575,713 is: 1,243,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,521 : 575,713 = 575,713 : x
  2. Step 2: Convert to fraction form
    266,521/575,713 = 575,713/x
  3. Step 3: Cross multiply
    266,521x = 575,713 × 575,713
  4. Step 4: Simplify right side
    266,521x = 331,445,458,369
  5. Step 5: Solve for x
    x = 331,445,458,369/266,521
  6. Step 6: Final answer
    x = 1,243,599.79

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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.