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Finding the Third Proportional to 314,965.13 and 682,417.13

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Solution

The third proportional to 314,965.13 and 682,417.13 is: 1,478,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,965.13 : 682,417.13 = 682,417.13 : x
  2. Step 2: Convert to fraction form
    314,965.13/682,417.13 = 682,417.13/x
  3. Step 3: Cross multiply
    314,965.13x = 682,417.13 × 682,417.13
  4. Step 4: Simplify right side
    314,965.13x = 465,693,132,493.27
  5. Step 5: Solve for x
    x = 465,693,132,493.27/314,965.13
  6. Step 6: Final answer
    x = 1,478,554.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.