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Finding the Third Proportional to 347,111.25 and 524,367

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Solution

The third proportional to 347,111.25 and 524,367 is: 792,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,111.25 : 524,367 = 524,367 : x
  2. Step 2: Convert to fraction form
    347,111.25/524,367 = 524,367/x
  3. Step 3: Cross multiply
    347,111.25x = 524,367 × 524,367
  4. Step 4: Simplify right side
    347,111.25x = 274,960,750,689
  5. Step 5: Solve for x
    x = 274,960,750,689/347,111.25
  6. Step 6: Final answer
    x = 792,140.13

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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.