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Finding the Third Proportional to 210,286.13 and 461,284.88

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Solution

The third proportional to 210,286.13 and 461,284.88 is: 1,011,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,286.13 : 461,284.88 = 461,284.88 : x
  2. Step 2: Convert to fraction form
    210,286.13/461,284.88 = 461,284.88/x
  3. Step 3: Cross multiply
    210,286.13x = 461,284.88 × 461,284.88
  4. Step 4: Simplify right side
    210,286.13x = 212,783,735,903.77
  5. Step 5: Solve for x
    x = 212,783,735,903.77/210,286.13
  6. Step 6: Final answer
    x = 1,011,877.20

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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.