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Finding the Third Proportional to 304,819 and 663,943

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Solution

The third proportional to 304,819 and 663,943 is: 1,446,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,819 : 663,943 = 663,943 : x
  2. Step 2: Convert to fraction form
    304,819/663,943 = 663,943/x
  3. Step 3: Cross multiply
    304,819x = 663,943 × 663,943
  4. Step 4: Simplify right side
    304,819x = 440,820,307,249
  5. Step 5: Solve for x
    x = 440,820,307,249/304,819
  6. Step 6: Final answer
    x = 1,446,170.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.