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Finding the Third Proportional to 352,086 and 760,288

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Solution

The third proportional to 352,086 and 760,288 is: 1,641,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,086 : 760,288 = 760,288 : x
  2. Step 2: Convert to fraction form
    352,086/760,288 = 760,288/x
  3. Step 3: Cross multiply
    352,086x = 760,288 × 760,288
  4. Step 4: Simplify right side
    352,086x = 578,037,842,944
  5. Step 5: Solve for x
    x = 578,037,842,944/352,086
  6. Step 6: Final answer
    x = 1,641,751.85

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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.