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Finding the Third Proportional to 211,617 and 328,032

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Solution

The third proportional to 211,617 and 328,032 is: 508,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,617 : 328,032 = 328,032 : x
  2. Step 2: Convert to fraction form
    211,617/328,032 = 328,032/x
  3. Step 3: Cross multiply
    211,617x = 328,032 × 328,032
  4. Step 4: Simplify right side
    211,617x = 107,604,993,024
  5. Step 5: Solve for x
    x = 107,604,993,024/211,617
  6. Step 6: Final answer
    x = 508,489.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.