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Finding the Third Proportional to 304,452 and 653,793.75

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Solution

The third proportional to 304,452 and 653,793.75 is: 1,403,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,452 : 653,793.75 = 653,793.75 : x
  2. Step 2: Convert to fraction form
    304,452/653,793.75 = 653,793.75/x
  3. Step 3: Cross multiply
    304,452x = 653,793.75 × 653,793.75
  4. Step 4: Simplify right side
    304,452x = 427,446,267,539.06
  5. Step 5: Solve for x
    x = 427,446,267,539.06/304,452
  6. Step 6: Final answer
    x = 1,403,985.74

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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.