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Finding the Third Proportional to 385,186 and 554,826

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Solution

The third proportional to 385,186 and 554,826 is: 799,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,186 : 554,826 = 554,826 : x
  2. Step 2: Convert to fraction form
    385,186/554,826 = 554,826/x
  3. Step 3: Cross multiply
    385,186x = 554,826 × 554,826
  4. Step 4: Simplify right side
    385,186x = 307,831,890,276
  5. Step 5: Solve for x
    x = 307,831,890,276/385,186
  6. Step 6: Final answer
    x = 799,177.26

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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.