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Finding the Third Proportional to 562,763 and 842,597

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Solution

The third proportional to 562,763 and 842,597 is: 1,261,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,763 : 842,597 = 842,597 : x
  2. Step 2: Convert to fraction form
    562,763/842,597 = 842,597/x
  3. Step 3: Cross multiply
    562,763x = 842,597 × 842,597
  4. Step 4: Simplify right side
    562,763x = 709,969,704,409
  5. Step 5: Solve for x
    x = 709,969,704,409/562,763
  6. Step 6: Final answer
    x = 1,261,578.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.