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Finding the Third Proportional to 360,816 and 560,862

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Solution

The third proportional to 360,816 and 560,862 is: 871,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,816 : 560,862 = 560,862 : x
  2. Step 2: Convert to fraction form
    360,816/560,862 = 560,862/x
  3. Step 3: Cross multiply
    360,816x = 560,862 × 560,862
  4. Step 4: Simplify right side
    360,816x = 314,566,183,044
  5. Step 5: Solve for x
    x = 314,566,183,044/360,816
  6. Step 6: Final answer
    x = 871,818.83

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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.