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Finding the Third Proportional to 304,656 and 661,584

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Solution

The third proportional to 304,656 and 661,584 is: 1,436,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,656 : 661,584 = 661,584 : x
  2. Step 2: Convert to fraction form
    304,656/661,584 = 661,584/x
  3. Step 3: Cross multiply
    304,656x = 661,584 × 661,584
  4. Step 4: Simplify right side
    304,656x = 437,693,389,056
  5. Step 5: Solve for x
    x = 437,693,389,056/304,656
  6. Step 6: Final answer
    x = 1,436,680.68

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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.