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Finding the Third Proportional to 577,560 and 897,756

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Solution

The third proportional to 577,560 and 897,756 is: 1,395,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,560 : 897,756 = 897,756 : x
  2. Step 2: Convert to fraction form
    577,560/897,756 = 897,756/x
  3. Step 3: Cross multiply
    577,560x = 897,756 × 897,756
  4. Step 4: Simplify right side
    577,560x = 805,965,835,536
  5. Step 5: Solve for x
    x = 805,965,835,536/577,560
  6. Step 6: Final answer
    x = 1,395,466.85

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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.