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Finding the Third Proportional to 340,776 and 527,112

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Solution

The third proportional to 340,776 and 527,112 is: 815,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,776 : 527,112 = 527,112 : x
  2. Step 2: Convert to fraction form
    340,776/527,112 = 527,112/x
  3. Step 3: Cross multiply
    340,776x = 527,112 × 527,112
  4. Step 4: Simplify right side
    340,776x = 277,847,060,544
  5. Step 5: Solve for x
    x = 277,847,060,544/340,776
  6. Step 6: Final answer
    x = 815,336.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.