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Finding the Third Proportional to 315,732 and 482,996

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Solution

The third proportional to 315,732 and 482,996 is: 738,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,732 : 482,996 = 482,996 : x
  2. Step 2: Convert to fraction form
    315,732/482,996 = 482,996/x
  3. Step 3: Cross multiply
    315,732x = 482,996 × 482,996
  4. Step 4: Simplify right side
    315,732x = 233,285,136,016
  5. Step 5: Solve for x
    x = 233,285,136,016/315,732
  6. Step 6: Final answer
    x = 738,870.74

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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.