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Finding the Third Proportional to 314,472 and 483,942

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Solution

The third proportional to 314,472 and 483,942 is: 744,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,472 : 483,942 = 483,942 : x
  2. Step 2: Convert to fraction form
    314,472/483,942 = 483,942/x
  3. Step 3: Cross multiply
    314,472x = 483,942 × 483,942
  4. Step 4: Simplify right side
    314,472x = 234,199,859,364
  5. Step 5: Solve for x
    x = 234,199,859,364/314,472
  6. Step 6: Final answer
    x = 744,739.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.