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Finding the Third Proportional to 374,796 and 596,094.75

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Solution

The third proportional to 374,796 and 596,094.75 is: 948,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,796 : 596,094.75 = 596,094.75 : x
  2. Step 2: Convert to fraction form
    374,796/596,094.75 = 596,094.75/x
  3. Step 3: Cross multiply
    374,796x = 596,094.75 × 596,094.75
  4. Step 4: Simplify right side
    374,796x = 355,328,950,977.56
  5. Step 5: Solve for x
    x = 355,328,950,977.56/374,796
  6. Step 6: Final answer
    x = 948,059.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.