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Finding the Third Proportional to 304,808 and 659,732

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Solution

The third proportional to 304,808 and 659,732 is: 1,427,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,808 : 659,732 = 659,732 : x
  2. Step 2: Convert to fraction form
    304,808/659,732 = 659,732/x
  3. Step 3: Cross multiply
    304,808x = 659,732 × 659,732
  4. Step 4: Simplify right side
    304,808x = 435,246,311,824
  5. Step 5: Solve for x
    x = 435,246,311,824/304,808
  6. Step 6: Final answer
    x = 1,427,935.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.