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Finding the Third Proportional to 294,504.75 and 472,509

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Solution

The third proportional to 294,504.75 and 472,509 is: 758,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,504.75 : 472,509 = 472,509 : x
  2. Step 2: Convert to fraction form
    294,504.75/472,509 = 472,509/x
  3. Step 3: Cross multiply
    294,504.75x = 472,509 × 472,509
  4. Step 4: Simplify right side
    294,504.75x = 223,264,755,081
  5. Step 5: Solve for x
    x = 223,264,755,081/294,504.75
  6. Step 6: Final answer
    x = 758,102.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.