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Finding the Third Proportional to 350,357 and 534,284

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Solution

The third proportional to 350,357 and 534,284 is: 814,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,357 : 534,284 = 534,284 : x
  2. Step 2: Convert to fraction form
    350,357/534,284 = 534,284/x
  3. Step 3: Cross multiply
    350,357x = 534,284 × 534,284
  4. Step 4: Simplify right side
    350,357x = 285,459,392,656
  5. Step 5: Solve for x
    x = 285,459,392,656/350,357
  6. Step 6: Final answer
    x = 814,767.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.