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Finding the Third Proportional to 316,477.13 and 682,435.13

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Solution

The third proportional to 316,477.13 and 682,435.13 is: 1,471,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,477.13 : 682,435.13 = 682,435.13 : x
  2. Step 2: Convert to fraction form
    316,477.13/682,435.13 = 682,435.13/x
  3. Step 3: Cross multiply
    316,477.13x = 682,435.13 × 682,435.13
  4. Step 4: Simplify right side
    316,477.13x = 465,717,699,833.77
  5. Step 5: Solve for x
    x = 465,717,699,833.77/316,477.13
  6. Step 6: Final answer
    x = 1,471,568.28

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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.