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Finding the Third Proportional to 261,820.50 and 570,295.50

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Solution

The third proportional to 261,820.50 and 570,295.50 is: 1,242,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820.50 : 570,295.50 = 570,295.50 : x
  2. Step 2: Convert to fraction form
    261,820.50/570,295.50 = 570,295.50/x
  3. Step 3: Cross multiply
    261,820.50x = 570,295.50 × 570,295.50
  4. Step 4: Simplify right side
    261,820.50x = 325,236,957,320.25
  5. Step 5: Solve for x
    x = 325,236,957,320.25/261,820.50
  6. Step 6: Final answer
    x = 1,242,213.49

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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.