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Finding the Third Proportional to 577,765.50 and 1,288,300.50

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Solution

The third proportional to 577,765.50 and 1,288,300.50 is: 2,872,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,765.50 : 1,288,300.50 = 1,288,300.50 : x
  2. Step 2: Convert to fraction form
    577,765.50/1,288,300.50 = 1,288,300.50/x
  3. Step 3: Cross multiply
    577,765.50x = 1,288,300.50 × 1,288,300.50
  4. Step 4: Simplify right side
    577,765.50x = 1,659,718,178,300.25
  5. Step 5: Solve for x
    x = 1,659,718,178,300.25/577,765.50
  6. Step 6: Final answer
    x = 2,872,650.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.