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Finding the Third Proportional to 315,734 and 482,999

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Solution

The third proportional to 315,734 and 482,999 is: 738,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,734 : 482,999 = 482,999 : x
  2. Step 2: Convert to fraction form
    315,734/482,999 = 482,999/x
  3. Step 3: Cross multiply
    315,734x = 482,999 × 482,999
  4. Step 4: Simplify right side
    315,734x = 233,288,034,001
  5. Step 5: Solve for x
    x = 233,288,034,001/315,734
  6. Step 6: Final answer
    x = 738,875.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.