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Finding the Third Proportional to 360,824 and 560,922

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Solution

The third proportional to 360,824 and 560,922 is: 871,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,824 : 560,922 = 560,922 : x
  2. Step 2: Convert to fraction form
    360,824/560,922 = 560,922/x
  3. Step 3: Cross multiply
    360,824x = 560,922 × 560,922
  4. Step 4: Simplify right side
    360,824x = 314,633,490,084
  5. Step 5: Solve for x
    x = 314,633,490,084/360,824
  6. Step 6: Final answer
    x = 871,986.04

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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.