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Finding the Third Proportional to 577,651.50 and 897,960.94

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Solution

The third proportional to 577,651.50 and 897,960.94 is: 1,395,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,651.50 : 897,960.94 = 897,960.94 : x
  2. Step 2: Convert to fraction form
    577,651.50/897,960.94 = 897,960.94/x
  3. Step 3: Cross multiply
    577,651.50x = 897,960.94 × 897,960.94
  4. Step 4: Simplify right side
    577,651.50x = 806,333,845,275.88
  5. Step 5: Solve for x
    x = 806,333,845,275.88/577,651.50
  6. Step 6: Final answer
    x = 1,395,882.89

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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.