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Finding the Third Proportional to 374,612 and 595,832

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Solution

The third proportional to 374,612 and 595,832 is: 947,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,612 : 595,832 = 595,832 : x
  2. Step 2: Convert to fraction form
    374,612/595,832 = 595,832/x
  3. Step 3: Cross multiply
    374,612x = 595,832 × 595,832
  4. Step 4: Simplify right side
    374,612x = 355,015,772,224
  5. Step 5: Solve for x
    x = 355,015,772,224/374,612
  6. Step 6: Final answer
    x = 947,689.27

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Why These Related Problems?

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