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Finding the Third Proportional to 212,472 and 459,792

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Solution

The third proportional to 212,472 and 459,792 is: 994,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,472 : 459,792 = 459,792 : x
  2. Step 2: Convert to fraction form
    212,472/459,792 = 459,792/x
  3. Step 3: Cross multiply
    212,472x = 459,792 × 459,792
  4. Step 4: Simplify right side
    212,472x = 211,408,683,264
  5. Step 5: Solve for x
    x = 211,408,683,264/212,472
  6. Step 6: Final answer
    x = 994,995.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.