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Finding the Third Proportional to 334,527 and 492,933

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Solution

The third proportional to 334,527 and 492,933 is: 726,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,527 : 492,933 = 492,933 : x
  2. Step 2: Convert to fraction form
    334,527/492,933 = 492,933/x
  3. Step 3: Cross multiply
    334,527x = 492,933 × 492,933
  4. Step 4: Simplify right side
    334,527x = 242,982,942,489
  5. Step 5: Solve for x
    x = 242,982,942,489/334,527
  6. Step 6: Final answer
    x = 726,347.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.