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Finding the Third Proportional to 272,153.25 and 576,751.50

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Solution

The third proportional to 272,153.25 and 576,751.50 is: 1,222,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,153.25 : 576,751.50 = 576,751.50 : x
  2. Step 2: Convert to fraction form
    272,153.25/576,751.50 = 576,751.50/x
  3. Step 3: Cross multiply
    272,153.25x = 576,751.50 × 576,751.50
  4. Step 4: Simplify right side
    272,153.25x = 332,642,292,752.25
  5. Step 5: Solve for x
    x = 332,642,292,752.25/272,153.25
  6. Step 6: Final answer
    x = 1,222,260.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.