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Finding the Third Proportional to 334,120 and 482,747

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Solution

The third proportional to 334,120 and 482,747 is: 697,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,120 : 482,747 = 482,747 : x
  2. Step 2: Convert to fraction form
    334,120/482,747 = 482,747/x
  3. Step 3: Cross multiply
    334,120x = 482,747 × 482,747
  4. Step 4: Simplify right side
    334,120x = 233,044,666,009
  5. Step 5: Solve for x
    x = 233,044,666,009/334,120
  6. Step 6: Final answer
    x = 697,487.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.