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Finding the Third Proportional to 213,372 and 459,792

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Solution

The third proportional to 213,372 and 459,792 is: 990,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,372 : 459,792 = 459,792 : x
  2. Step 2: Convert to fraction form
    213,372/459,792 = 459,792/x
  3. Step 3: Cross multiply
    213,372x = 459,792 × 459,792
  4. Step 4: Simplify right side
    213,372x = 211,408,683,264
  5. Step 5: Solve for x
    x = 211,408,683,264/213,372
  6. Step 6: Final answer
    x = 990,798.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.