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Finding the Third Proportional to 385,190 and 554,832

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Solution

The third proportional to 385,190 and 554,832 is: 799,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,190 : 554,832 = 554,832 : x
  2. Step 2: Convert to fraction form
    385,190/554,832 = 554,832/x
  3. Step 3: Cross multiply
    385,190x = 554,832 × 554,832
  4. Step 4: Simplify right side
    385,190x = 307,838,548,224
  5. Step 5: Solve for x
    x = 307,838,548,224/385,190
  6. Step 6: Final answer
    x = 799,186.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.