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Finding the Third Proportional to 342,478.50 and 542,272.50

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Solution

The third proportional to 342,478.50 and 542,272.50 is: 858,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,478.50 : 542,272.50 = 542,272.50 : x
  2. Step 2: Convert to fraction form
    342,478.50/542,272.50 = 542,272.50/x
  3. Step 3: Cross multiply
    342,478.50x = 542,272.50 × 542,272.50
  4. Step 4: Simplify right side
    342,478.50x = 294,059,464,256.25
  5. Step 5: Solve for x
    x = 294,059,464,256.25/342,478.50
  6. Step 6: Final answer
    x = 858,621.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.