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Finding the Third Proportional to 277,077 and 596,534

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Solution

The third proportional to 277,077 and 596,534 is: 1,284,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,077 : 596,534 = 596,534 : x
  2. Step 2: Convert to fraction form
    277,077/596,534 = 596,534/x
  3. Step 3: Cross multiply
    277,077x = 596,534 × 596,534
  4. Step 4: Simplify right side
    277,077x = 355,852,813,156
  5. Step 5: Solve for x
    x = 355,852,813,156/277,077
  6. Step 6: Final answer
    x = 1,284,310.19

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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.