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Finding the Third Proportional to 577,566 and 897,765

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Solution

The third proportional to 577,566 and 897,765 is: 1,395,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,566 : 897,765 = 897,765 : x
  2. Step 2: Convert to fraction form
    577,566/897,765 = 897,765/x
  3. Step 3: Cross multiply
    577,566x = 897,765 × 897,765
  4. Step 4: Simplify right side
    577,566x = 805,981,995,225
  5. Step 5: Solve for x
    x = 805,981,995,225/577,566
  6. Step 6: Final answer
    x = 1,395,480.34

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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.