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Finding the Third Proportional to 211,535 and 461,659

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Solution

The third proportional to 211,535 and 461,659 is: 1,007,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,535 : 461,659 = 461,659 : x
  2. Step 2: Convert to fraction form
    211,535/461,659 = 461,659/x
  3. Step 3: Cross multiply
    211,535x = 461,659 × 461,659
  4. Step 4: Simplify right side
    211,535x = 213,129,032,281
  5. Step 5: Solve for x
    x = 213,129,032,281/211,535
  6. Step 6: Final answer
    x = 1,007,535.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.