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Finding the Third Proportional to 304,689 and 660,228

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Solution

The third proportional to 304,689 and 660,228 is: 1,430,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,689 : 660,228 = 660,228 : x
  2. Step 2: Convert to fraction form
    304,689/660,228 = 660,228/x
  3. Step 3: Cross multiply
    304,689x = 660,228 × 660,228
  4. Step 4: Simplify right side
    304,689x = 435,901,011,984
  5. Step 5: Solve for x
    x = 435,901,011,984/304,689
  6. Step 6: Final answer
    x = 1,430,642.43

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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.