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Finding the Third Proportional to 361,319 and 536,738

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Solution

The third proportional to 361,319 and 536,738 is: 797,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,319 : 536,738 = 536,738 : x
  2. Step 2: Convert to fraction form
    361,319/536,738 = 536,738/x
  3. Step 3: Cross multiply
    361,319x = 536,738 × 536,738
  4. Step 4: Simplify right side
    361,319x = 288,087,680,644
  5. Step 5: Solve for x
    x = 288,087,680,644/361,319
  6. Step 6: Final answer
    x = 797,322.26

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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.