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Finding the Third Proportional to 361,315 and 536,732

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Solution

The third proportional to 361,315 and 536,732 is: 797,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,315 : 536,732 = 536,732 : x
  2. Step 2: Convert to fraction form
    361,315/536,732 = 536,732/x
  3. Step 3: Cross multiply
    361,315x = 536,732 × 536,732
  4. Step 4: Simplify right side
    361,315x = 288,081,239,824
  5. Step 5: Solve for x
    x = 288,081,239,824/361,315
  6. Step 6: Final answer
    x = 797,313.26

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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.