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Finding the Third Proportional to 259,407.50 and 569,887.50

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Solution

The third proportional to 259,407.50 and 569,887.50 is: 1,251,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,407.50 : 569,887.50 = 569,887.50 : x
  2. Step 2: Convert to fraction form
    259,407.50/569,887.50 = 569,887.50/x
  3. Step 3: Cross multiply
    259,407.50x = 569,887.50 × 569,887.50
  4. Step 4: Simplify right side
    259,407.50x = 324,771,762,656.25
  5. Step 5: Solve for x
    x = 324,771,762,656.25/259,407.50
  6. Step 6: Final answer
    x = 1,251,975.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.