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Finding the Third Proportional to 266,322 and 584,372

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Solution

The third proportional to 266,322 and 584,372 is: 1,282,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,322 : 584,372 = 584,372 : x
  2. Step 2: Convert to fraction form
    266,322/584,372 = 584,372/x
  3. Step 3: Cross multiply
    266,322x = 584,372 × 584,372
  4. Step 4: Simplify right side
    266,322x = 341,490,634,384
  5. Step 5: Solve for x
    x = 341,490,634,384/266,322
  6. Step 6: Final answer
    x = 1,282,247.18

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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.