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Finding the Third Proportional to 336,732 and 732,381

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Solution

The third proportional to 336,732 and 732,381 is: 1,592,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,732 : 732,381 = 732,381 : x
  2. Step 2: Convert to fraction form
    336,732/732,381 = 732,381/x
  3. Step 3: Cross multiply
    336,732x = 732,381 × 732,381
  4. Step 4: Simplify right side
    336,732x = 536,381,929,161
  5. Step 5: Solve for x
    x = 536,381,929,161/336,732
  6. Step 6: Final answer
    x = 1,592,904.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.