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Finding the Third Proportional to 261,022.50 and 569,983.50

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Solution

The third proportional to 261,022.50 and 569,983.50 is: 1,244,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,022.50 : 569,983.50 = 569,983.50 : x
  2. Step 2: Convert to fraction form
    261,022.50/569,983.50 = 569,983.50/x
  3. Step 3: Cross multiply
    261,022.50x = 569,983.50 × 569,983.50
  4. Step 4: Simplify right side
    261,022.50x = 324,881,190,272.25
  5. Step 5: Solve for x
    x = 324,881,190,272.25/261,022.50
  6. Step 6: Final answer
    x = 1,244,648.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.