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Finding the Third Proportional to 210,286 and 461,283

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Solution

The third proportional to 210,286 and 461,283 is: 1,011,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,286 : 461,283 = 461,283 : x
  2. Step 2: Convert to fraction form
    210,286/461,283 = 461,283/x
  3. Step 3: Cross multiply
    210,286x = 461,283 × 461,283
  4. Step 4: Simplify right side
    210,286x = 212,782,006,089
  5. Step 5: Solve for x
    x = 212,782,006,089/210,286
  6. Step 6: Final answer
    x = 1,011,869.58

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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.