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Finding the Third Proportional to 577,818.88 and 898,200.14

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Solution

The third proportional to 577,818.88 and 898,200.14 is: 1,396,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,818.88 : 898,200.14 = 898,200.14 : x
  2. Step 2: Convert to fraction form
    577,818.88/898,200.14 = 898,200.14/x
  3. Step 3: Cross multiply
    577,818.88x = 898,200.14 × 898,200.14
  4. Step 4: Simplify right side
    577,818.88x = 806,763,492,618.77
  5. Step 5: Solve for x
    x = 806,763,492,618.77/577,818.88
  6. Step 6: Final answer
    x = 1,396,222.11

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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.