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Finding the Third Proportional to 315,666 and 675,741

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Solution

The third proportional to 315,666 and 675,741 is: 1,446,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,666 : 675,741 = 675,741 : x
  2. Step 2: Convert to fraction form
    315,666/675,741 = 675,741/x
  3. Step 3: Cross multiply
    315,666x = 675,741 × 675,741
  4. Step 4: Simplify right side
    315,666x = 456,625,899,081
  5. Step 5: Solve for x
    x = 456,625,899,081/315,666
  6. Step 6: Final answer
    x = 1,446,547.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.