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Finding the Third Proportional to 301,044 and 663,522

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Solution

The third proportional to 301,044 and 663,522 is: 1,462,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,044 : 663,522 = 663,522 : x
  2. Step 2: Convert to fraction form
    301,044/663,522 = 663,522/x
  3. Step 3: Cross multiply
    301,044x = 663,522 × 663,522
  4. Step 4: Simplify right side
    301,044x = 440,261,444,484
  5. Step 5: Solve for x
    x = 440,261,444,484/301,044
  6. Step 6: Final answer
    x = 1,462,448.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.