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Finding the Third Proportional to 210,284 and 461,279

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Solution

The third proportional to 210,284 and 461,279 is: 1,011,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,284 : 461,279 = 461,279 : x
  2. Step 2: Convert to fraction form
    210,284/461,279 = 461,279/x
  3. Step 3: Cross multiply
    210,284x = 461,279 × 461,279
  4. Step 4: Simplify right side
    210,284x = 212,778,315,841
  5. Step 5: Solve for x
    x = 212,778,315,841/210,284
  6. Step 6: Final answer
    x = 1,011,861.65

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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.