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Finding the Third Proportional to 342,504 and 527,094

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Solution

The third proportional to 342,504 and 527,094 is: 811,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,504 : 527,094 = 527,094 : x
  2. Step 2: Convert to fraction form
    342,504/527,094 = 527,094/x
  3. Step 3: Cross multiply
    342,504x = 527,094 × 527,094
  4. Step 4: Simplify right side
    342,504x = 277,828,084,836
  5. Step 5: Solve for x
    x = 277,828,084,836/342,504
  6. Step 6: Final answer
    x = 811,167.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.