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Finding the Third Proportional to 304,012 and 665,158

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Solution

The third proportional to 304,012 and 665,158 is: 1,455,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,012 : 665,158 = 665,158 : x
  2. Step 2: Convert to fraction form
    304,012/665,158 = 665,158/x
  3. Step 3: Cross multiply
    304,012x = 665,158 × 665,158
  4. Step 4: Simplify right side
    304,012x = 442,435,164,964
  5. Step 5: Solve for x
    x = 442,435,164,964/304,012
  6. Step 6: Final answer
    x = 1,455,321.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.