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Finding the Third Proportional to 277,452 and 396,468

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Solution

The third proportional to 277,452 and 396,468 is: 566,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,452 : 396,468 = 396,468 : x
  2. Step 2: Convert to fraction form
    277,452/396,468 = 396,468/x
  3. Step 3: Cross multiply
    277,452x = 396,468 × 396,468
  4. Step 4: Simplify right side
    277,452x = 157,186,875,024
  5. Step 5: Solve for x
    x = 157,186,875,024/277,452
  6. Step 6: Final answer
    x = 566,537.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.