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Finding the Third Proportional to 241,776 and 568,716

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Solution

The third proportional to 241,776 and 568,716 is: 1,337,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,776 : 568,716 = 568,716 : x
  2. Step 2: Convert to fraction form
    241,776/568,716 = 568,716/x
  3. Step 3: Cross multiply
    241,776x = 568,716 × 568,716
  4. Step 4: Simplify right side
    241,776x = 323,437,888,656
  5. Step 5: Solve for x
    x = 323,437,888,656/241,776
  6. Step 6: Final answer
    x = 1,337,758.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.