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Finding the Third Proportional to 304,508 and 655,672

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Solution

The third proportional to 304,508 and 655,672 is: 1,411,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,508 : 655,672 = 655,672 : x
  2. Step 2: Convert to fraction form
    304,508/655,672 = 655,672/x
  3. Step 3: Cross multiply
    304,508x = 655,672 × 655,672
  4. Step 4: Simplify right side
    304,508x = 429,905,771,584
  5. Step 5: Solve for x
    x = 429,905,771,584/304,508
  6. Step 6: Final answer
    x = 1,411,804.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.