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Finding the Third Proportional to 363,410 and 548,391

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Solution

The third proportional to 363,410 and 548,391 is: 827,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,410 : 548,391 = 548,391 : x
  2. Step 2: Convert to fraction form
    363,410/548,391 = 548,391/x
  3. Step 3: Cross multiply
    363,410x = 548,391 × 548,391
  4. Step 4: Simplify right side
    363,410x = 300,732,688,881
  5. Step 5: Solve for x
    x = 300,732,688,881/363,410
  6. Step 6: Final answer
    x = 827,530.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.