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Finding the Third Proportional to 277,583 and 596,463

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Solution

The third proportional to 277,583 and 596,463 is: 1,281,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,583 : 596,463 = 596,463 : x
  2. Step 2: Convert to fraction form
    277,583/596,463 = 596,463/x
  3. Step 3: Cross multiply
    277,583x = 596,463 × 596,463
  4. Step 4: Simplify right side
    277,583x = 355,768,110,369
  5. Step 5: Solve for x
    x = 355,768,110,369/277,583
  6. Step 6: Final answer
    x = 1,281,663.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.