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Finding the Third Proportional to 261,223.50 and 573,820.50

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Solution

The third proportional to 261,223.50 and 573,820.50 is: 1,260,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,223.50 : 573,820.50 = 573,820.50 : x
  2. Step 2: Convert to fraction form
    261,223.50/573,820.50 = 573,820.50/x
  3. Step 3: Cross multiply
    261,223.50x = 573,820.50 × 573,820.50
  4. Step 4: Simplify right side
    261,223.50x = 329,269,966,220.25
  5. Step 5: Solve for x
    x = 329,269,966,220.25/261,223.50
  6. Step 6: Final answer
    x = 1,260,491.37

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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.