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Finding the Third Proportional to 338,682 and 524,700

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Solution

The third proportional to 338,682 and 524,700 is: 812,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,682 : 524,700 = 524,700 : x
  2. Step 2: Convert to fraction form
    338,682/524,700 = 524,700/x
  3. Step 3: Cross multiply
    338,682x = 524,700 × 524,700
  4. Step 4: Simplify right side
    338,682x = 275,310,090,000
  5. Step 5: Solve for x
    x = 275,310,090,000/338,682
  6. Step 6: Final answer
    x = 812,886.69

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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.