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Finding the Third Proportional to 374,776 and 534,132

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Solution

The third proportional to 374,776 and 534,132 is: 761,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,776 : 534,132 = 534,132 : x
  2. Step 2: Convert to fraction form
    374,776/534,132 = 534,132/x
  3. Step 3: Cross multiply
    374,776x = 534,132 × 534,132
  4. Step 4: Simplify right side
    374,776x = 285,296,993,424
  5. Step 5: Solve for x
    x = 285,296,993,424/374,776
  6. Step 6: Final answer
    x = 761,246.70

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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.