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Finding the Third Proportional to 280,307.25 and 658,064.25

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Solution

The third proportional to 280,307.25 and 658,064.25 is: 1,544,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,307.25 : 658,064.25 = 658,064.25 : x
  2. Step 2: Convert to fraction form
    280,307.25/658,064.25 = 658,064.25/x
  3. Step 3: Cross multiply
    280,307.25x = 658,064.25 × 658,064.25
  4. Step 4: Simplify right side
    280,307.25x = 433,048,557,128.06
  5. Step 5: Solve for x
    x = 433,048,557,128.06/280,307.25
  6. Step 6: Final answer
    x = 1,544,906.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.