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Finding the Third Proportional to 320,536 and 498,294

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Solution

The third proportional to 320,536 and 498,294 is: 774,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,536 : 498,294 = 498,294 : x
  2. Step 2: Convert to fraction form
    320,536/498,294 = 498,294/x
  3. Step 3: Cross multiply
    320,536x = 498,294 × 498,294
  4. Step 4: Simplify right side
    320,536x = 248,296,910,436
  5. Step 5: Solve for x
    x = 248,296,910,436/320,536
  6. Step 6: Final answer
    x = 774,630.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.