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Finding the Third Proportional to 374,833 and 534,211

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Solution

The third proportional to 374,833 and 534,211 is: 761,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,833 : 534,211 = 534,211 : x
  2. Step 2: Convert to fraction form
    374,833/534,211 = 534,211/x
  3. Step 3: Cross multiply
    374,833x = 534,211 × 534,211
  4. Step 4: Simplify right side
    374,833x = 285,381,392,521
  5. Step 5: Solve for x
    x = 285,381,392,521/374,833
  6. Step 6: Final answer
    x = 761,356.10

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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.