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Finding the Third Proportional to 339,106 and 524,246

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Solution

The third proportional to 339,106 and 524,246 is: 810,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,106 : 524,246 = 524,246 : x
  2. Step 2: Convert to fraction form
    339,106/524,246 = 524,246/x
  3. Step 3: Cross multiply
    339,106x = 524,246 × 524,246
  4. Step 4: Simplify right side
    339,106x = 274,833,868,516
  5. Step 5: Solve for x
    x = 274,833,868,516/339,106
  6. Step 6: Final answer
    x = 810,465.96

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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.