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Finding the Third Proportional to 467,518.50 and 623,943

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Solution

The third proportional to 467,518.50 and 623,943 is: 832,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,518.50 : 623,943 = 623,943 : x
  2. Step 2: Convert to fraction form
    467,518.50/623,943 = 623,943/x
  3. Step 3: Cross multiply
    467,518.50x = 623,943 × 623,943
  4. Step 4: Simplify right side
    467,518.50x = 389,304,867,249
  5. Step 5: Solve for x
    x = 389,304,867,249/467,518.50
  6. Step 6: Final answer
    x = 832,704.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.