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Finding the Third Proportional to 211,315 and 498,328

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Solution

The third proportional to 211,315 and 498,328 is: 1,175,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,315 : 498,328 = 498,328 : x
  2. Step 2: Convert to fraction form
    211,315/498,328 = 498,328/x
  3. Step 3: Cross multiply
    211,315x = 498,328 × 498,328
  4. Step 4: Simplify right side
    211,315x = 248,330,795,584
  5. Step 5: Solve for x
    x = 248,330,795,584/211,315
  6. Step 6: Final answer
    x = 1,175,168.80

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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.