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Finding the Third Proportional to 367,006 and 536,346

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Solution

The third proportional to 367,006 and 536,346 is: 783,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,006 : 536,346 = 536,346 : x
  2. Step 2: Convert to fraction form
    367,006/536,346 = 536,346/x
  3. Step 3: Cross multiply
    367,006x = 536,346 × 536,346
  4. Step 4: Simplify right side
    367,006x = 287,667,031,716
  5. Step 5: Solve for x
    x = 287,667,031,716/367,006
  6. Step 6: Final answer
    x = 783,821.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.