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Finding the Third Proportional to 210,356 and 461,536

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Solution

The third proportional to 210,356 and 461,536 is: 1,012,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,356 : 461,536 = 461,536 : x
  2. Step 2: Convert to fraction form
    210,356/461,536 = 461,536/x
  3. Step 3: Cross multiply
    210,356x = 461,536 × 461,536
  4. Step 4: Simplify right side
    210,356x = 213,015,479,296
  5. Step 5: Solve for x
    x = 213,015,479,296/210,356
  6. Step 6: Final answer
    x = 1,012,642.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.