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Finding the Third Proportional to 367,006 and 536,347

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Solution

The third proportional to 367,006 and 536,347 is: 783,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,006 : 536,347 = 536,347 : x
  2. Step 2: Convert to fraction form
    367,006/536,347 = 536,347/x
  3. Step 3: Cross multiply
    367,006x = 536,347 × 536,347
  4. Step 4: Simplify right side
    367,006x = 287,668,104,409
  5. Step 5: Solve for x
    x = 287,668,104,409/367,006
  6. Step 6: Final answer
    x = 783,823.98

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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.