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Finding the Third Proportional to 304,706 and 660,258

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Solution

The third proportional to 304,706 and 660,258 is: 1,430,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,706 : 660,258 = 660,258 : x
  2. Step 2: Convert to fraction form
    304,706/660,258 = 660,258/x
  3. Step 3: Cross multiply
    304,706x = 660,258 × 660,258
  4. Step 4: Simplify right side
    304,706x = 435,940,626,564
  5. Step 5: Solve for x
    x = 435,940,626,564/304,706
  6. Step 6: Final answer
    x = 1,430,692.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.