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Finding the Third Proportional to 304,708 and 660,260

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Solution

The third proportional to 304,708 and 660,260 is: 1,430,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,708 : 660,260 = 660,260 : x
  2. Step 2: Convert to fraction form
    304,708/660,260 = 660,260/x
  3. Step 3: Cross multiply
    304,708x = 660,260 × 660,260
  4. Step 4: Simplify right side
    304,708x = 435,943,267,600
  5. Step 5: Solve for x
    x = 435,943,267,600/304,708
  6. Step 6: Final answer
    x = 1,430,691.90

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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.