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Finding the Third Proportional to 361,292 and 508,329

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Solution

The third proportional to 361,292 and 508,329 is: 715,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,292 : 508,329 = 508,329 : x
  2. Step 2: Convert to fraction form
    361,292/508,329 = 508,329/x
  3. Step 3: Cross multiply
    361,292x = 508,329 × 508,329
  4. Step 4: Simplify right side
    361,292x = 258,398,372,241
  5. Step 5: Solve for x
    x = 258,398,372,241/361,292
  6. Step 6: Final answer
    x = 715,206.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.