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Finding the Third Proportional to 333,616 and 491,596

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Solution

The third proportional to 333,616 and 491,596 is: 724,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,616 : 491,596 = 491,596 : x
  2. Step 2: Convert to fraction form
    333,616/491,596 = 491,596/x
  3. Step 3: Cross multiply
    333,616x = 491,596 × 491,596
  4. Step 4: Simplify right side
    333,616x = 241,666,627,216
  5. Step 5: Solve for x
    x = 241,666,627,216/333,616
  6. Step 6: Final answer
    x = 724,385.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.