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Finding the Third Proportional to 342,843.75 and 522,967.50

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Solution

The third proportional to 342,843.75 and 522,967.50 is: 797,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,843.75 : 522,967.50 = 522,967.50 : x
  2. Step 2: Convert to fraction form
    342,843.75/522,967.50 = 522,967.50/x
  3. Step 3: Cross multiply
    342,843.75x = 522,967.50 × 522,967.50
  4. Step 4: Simplify right side
    342,843.75x = 273,495,006,056.25
  5. Step 5: Solve for x
    x = 273,495,006,056.25/342,843.75
  6. Step 6: Final answer
    x = 797,724.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.