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Finding the Third Proportional to 210,360 and 461,544

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Solution

The third proportional to 210,360 and 461,544 is: 1,012,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,360 : 461,544 = 461,544 : x
  2. Step 2: Convert to fraction form
    210,360/461,544 = 461,544/x
  3. Step 3: Cross multiply
    210,360x = 461,544 × 461,544
  4. Step 4: Simplify right side
    210,360x = 213,022,863,936
  5. Step 5: Solve for x
    x = 213,022,863,936/210,360
  6. Step 6: Final answer
    x = 1,012,658.60

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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.