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Finding the Third Proportional to 361,294 and 508,333

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Solution

The third proportional to 361,294 and 508,333 is: 715,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,294 : 508,333 = 508,333 : x
  2. Step 2: Convert to fraction form
    361,294/508,333 = 508,333/x
  3. Step 3: Cross multiply
    361,294x = 508,333 × 508,333
  4. Step 4: Simplify right side
    361,294x = 258,402,438,889
  5. Step 5: Solve for x
    x = 258,402,438,889/361,294
  6. Step 6: Final answer
    x = 715,213.76

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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.