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Finding the Third Proportional to 259,507.13 and 561,664.13

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Solution

The third proportional to 259,507.13 and 561,664.13 is: 1,215,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,507.13 : 561,664.13 = 561,664.13 : x
  2. Step 2: Convert to fraction form
    259,507.13/561,664.13 = 561,664.13/x
  3. Step 3: Cross multiply
    259,507.13x = 561,664.13 × 561,664.13
  4. Step 4: Simplify right side
    259,507.13x = 315,466,589,312.02
  5. Step 5: Solve for x
    x = 315,466,589,312.02/259,507.13
  6. Step 6: Final answer
    x = 1,215,637.49

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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.