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Finding the Third Proportional to 299,184 and 654,684

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Solution

The third proportional to 299,184 and 654,684 is: 1,432,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,184 : 654,684 = 654,684 : x
  2. Step 2: Convert to fraction form
    299,184/654,684 = 654,684/x
  3. Step 3: Cross multiply
    299,184x = 654,684 × 654,684
  4. Step 4: Simplify right side
    299,184x = 428,611,139,856
  5. Step 5: Solve for x
    x = 428,611,139,856/299,184
  6. Step 6: Final answer
    x = 1,432,600.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.