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Finding the Third Proportional to 211,280 and 464,032

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Solution

The third proportional to 211,280 and 464,032 is: 1,019,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,280 : 464,032 = 464,032 : x
  2. Step 2: Convert to fraction form
    211,280/464,032 = 464,032/x
  3. Step 3: Cross multiply
    211,280x = 464,032 × 464,032
  4. Step 4: Simplify right side
    211,280x = 215,325,697,024
  5. Step 5: Solve for x
    x = 215,325,697,024/211,280
  6. Step 6: Final answer
    x = 1,019,148.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.