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Finding the Third Proportional to 275,748.75 and 415,264.50

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Solution

The third proportional to 275,748.75 and 415,264.50 is: 625,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,748.75 : 415,264.50 = 415,264.50 : x
  2. Step 2: Convert to fraction form
    275,748.75/415,264.50 = 415,264.50/x
  3. Step 3: Cross multiply
    275,748.75x = 415,264.50 × 415,264.50
  4. Step 4: Simplify right side
    275,748.75x = 172,444,604,960.25
  5. Step 5: Solve for x
    x = 172,444,604,960.25/275,748.75
  6. Step 6: Final answer
    x = 625,368.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.