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Finding the Third Proportional to 374,774.34 and 534,129.19

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Solution

The third proportional to 374,774.34 and 534,129.19 is: 761,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,774.34 : 534,129.19 = 534,129.19 : x
  2. Step 2: Convert to fraction form
    374,774.34/534,129.19 = 534,129.19/x
  3. Step 3: Cross multiply
    374,774.34x = 534,129.19 × 534,129.19
  4. Step 4: Simplify right side
    374,774.34x = 285,293,988,939.41
  5. Step 5: Solve for x
    x = 285,293,988,939.41/374,774.34
  6. Step 6: Final answer
    x = 761,242.05

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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.