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Finding the Third Proportional to 333,585 and 491,554

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Solution

The third proportional to 333,585 and 491,554 is: 724,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,585 : 491,554 = 491,554 : x
  2. Step 2: Convert to fraction form
    333,585/491,554 = 491,554/x
  3. Step 3: Cross multiply
    333,585x = 491,554 × 491,554
  4. Step 4: Simplify right side
    333,585x = 241,625,334,916
  5. Step 5: Solve for x
    x = 241,625,334,916/333,585
  6. Step 6: Final answer
    x = 724,329.14

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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.