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Finding the Third Proportional to 210,266 and 455,524

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Solution

The third proportional to 210,266 and 455,524 is: 986,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,266 : 455,524 = 455,524 : x
  2. Step 2: Convert to fraction form
    210,266/455,524 = 455,524/x
  3. Step 3: Cross multiply
    210,266x = 455,524 × 455,524
  4. Step 4: Simplify right side
    210,266x = 207,502,114,576
  5. Step 5: Solve for x
    x = 207,502,114,576/210,266
  6. Step 6: Final answer
    x = 986,855.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.