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Finding the Third Proportional to 288,766 and 695,670

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Solution

The third proportional to 288,766 and 695,670 is: 1,675,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766 : 695,670 = 695,670 : x
  2. Step 2: Convert to fraction form
    288,766/695,670 = 695,670/x
  3. Step 3: Cross multiply
    288,766x = 695,670 × 695,670
  4. Step 4: Simplify right side
    288,766x = 483,956,748,900
  5. Step 5: Solve for x
    x = 483,956,748,900/288,766
  6. Step 6: Final answer
    x = 1,675,947.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.