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Finding the Third Proportional to 341,566.75 and 501,272.25

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Solution

The third proportional to 341,566.75 and 501,272.25 is: 735,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,566.75 : 501,272.25 = 501,272.25 : x
  2. Step 2: Convert to fraction form
    341,566.75/501,272.25 = 501,272.25/x
  3. Step 3: Cross multiply
    341,566.75x = 501,272.25 × 501,272.25
  4. Step 4: Simplify right side
    341,566.75x = 251,273,868,620.06
  5. Step 5: Solve for x
    x = 251,273,868,620.06/341,566.75
  6. Step 6: Final answer
    x = 735,650.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.