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Finding the Third Proportional to 404,325,832.50 and 591,325,542

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Solution

The third proportional to 404,325,832.50 and 591,325,542 is: 864,812,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,325,832.50 : 591,325,542 = 591,325,542 : x
  2. Step 2: Convert to fraction form
    404,325,832.50/591,325,542 = 591,325,542/x
  3. Step 3: Cross multiply
    404,325,832.50x = 591,325,542 × 591,325,542
  4. Step 4: Simplify right side
    404,325,832.50x = 349,665,896,621,593,792
  5. Step 5: Solve for x
    x = 349,665,896,621,593,792/404,325,832.50
  6. Step 6: Final answer
    x = 864,812,160.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.