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Finding the Third Proportional to 304,825 and 669,982

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Solution

The third proportional to 304,825 and 669,982 is: 1,472,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,825 : 669,982 = 669,982 : x
  2. Step 2: Convert to fraction form
    304,825/669,982 = 669,982/x
  3. Step 3: Cross multiply
    304,825x = 669,982 × 669,982
  4. Step 4: Simplify right side
    304,825x = 448,875,880,324
  5. Step 5: Solve for x
    x = 448,875,880,324/304,825
  6. Step 6: Final answer
    x = 1,472,569.11

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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.