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Finding the Third Proportional to 226,521 and 476,349

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Solution

The third proportional to 226,521 and 476,349 is: 1,001,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,521 : 476,349 = 476,349 : x
  2. Step 2: Convert to fraction form
    226,521/476,349 = 476,349/x
  3. Step 3: Cross multiply
    226,521x = 476,349 × 476,349
  4. Step 4: Simplify right side
    226,521x = 226,908,369,801
  5. Step 5: Solve for x
    x = 226,908,369,801/226,521
  6. Step 6: Final answer
    x = 1,001,710.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.