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Finding the Third Proportional to 361,295 and 508,335

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Solution

The third proportional to 361,295 and 508,335 is: 715,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,295 : 508,335 = 508,335 : x
  2. Step 2: Convert to fraction form
    361,295/508,335 = 508,335/x
  3. Step 3: Cross multiply
    361,295x = 508,335 × 508,335
  4. Step 4: Simplify right side
    361,295x = 258,404,472,225
  5. Step 5: Solve for x
    x = 258,404,472,225/361,295
  6. Step 6: Final answer
    x = 715,217.40

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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.