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Finding the Third Proportional to 263,904.75 and 569,656.13

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Solution

The third proportional to 263,904.75 and 569,656.13 is: 1,229,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,904.75 : 569,656.13 = 569,656.13 : x
  2. Step 2: Convert to fraction form
    263,904.75/569,656.13 = 569,656.13/x
  3. Step 3: Cross multiply
    263,904.75x = 569,656.13 × 569,656.13
  4. Step 4: Simplify right side
    263,904.75x = 324,508,100,750.02
  5. Step 5: Solve for x
    x = 324,508,100,750.02/263,904.75
  6. Step 6: Final answer
    x = 1,229,641.00

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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.