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Finding the Third Proportional to 361,322 and 536,763

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Solution

The third proportional to 361,322 and 536,763 is: 797,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,322 : 536,763 = 536,763 : x
  2. Step 2: Convert to fraction form
    361,322/536,763 = 536,763/x
  3. Step 3: Cross multiply
    361,322x = 536,763 × 536,763
  4. Step 4: Simplify right side
    361,322x = 288,114,518,169
  5. Step 5: Solve for x
    x = 288,114,518,169/361,322
  6. Step 6: Final answer
    x = 797,389.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.