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Finding the Third Proportional to 211,372.50 and 498,464

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Solution

The third proportional to 211,372.50 and 498,464 is: 1,175,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,372.50 : 498,464 = 498,464 : x
  2. Step 2: Convert to fraction form
    211,372.50/498,464 = 498,464/x
  3. Step 3: Cross multiply
    211,372.50x = 498,464 × 498,464
  4. Step 4: Simplify right side
    211,372.50x = 248,466,359,296
  5. Step 5: Solve for x
    x = 248,466,359,296/211,372.50
  6. Step 6: Final answer
    x = 1,175,490.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.