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Finding the Third Proportional to 577,822.50 and 898,205.50

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Solution

The third proportional to 577,822.50 and 898,205.50 is: 1,396,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,822.50 : 898,205.50 = 898,205.50 : x
  2. Step 2: Convert to fraction form
    577,822.50/898,205.50 = 898,205.50/x
  3. Step 3: Cross multiply
    577,822.50x = 898,205.50 × 898,205.50
  4. Step 4: Simplify right side
    577,822.50x = 806,773,120,230.25
  5. Step 5: Solve for x
    x = 806,773,120,230.25/577,822.50
  6. Step 6: Final answer
    x = 1,396,230.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.