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Finding the Third Proportional to 210,296 and 461,306

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Solution

The third proportional to 210,296 and 461,306 is: 1,011,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,296 : 461,306 = 461,306 : x
  2. Step 2: Convert to fraction form
    210,296/461,306 = 461,306/x
  3. Step 3: Cross multiply
    210,296x = 461,306 × 461,306
  4. Step 4: Simplify right side
    210,296x = 212,803,225,636
  5. Step 5: Solve for x
    x = 212,803,225,636/210,296
  6. Step 6: Final answer
    x = 1,011,922.36

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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.