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Finding the Third Proportional to 374,900 and 534,302

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Solution

The third proportional to 374,900 and 534,302 is: 761,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,900 : 534,302 = 534,302 : x
  2. Step 2: Convert to fraction form
    374,900/534,302 = 534,302/x
  3. Step 3: Cross multiply
    374,900x = 534,302 × 534,302
  4. Step 4: Simplify right side
    374,900x = 285,478,627,204
  5. Step 5: Solve for x
    x = 285,478,627,204/374,900
  6. Step 6: Final answer
    x = 761,479.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.