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Finding the Third Proportional to 277,315 and 567,773

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Solution

The third proportional to 277,315 and 567,773 is: 1,162,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,315 : 567,773 = 567,773 : x
  2. Step 2: Convert to fraction form
    277,315/567,773 = 567,773/x
  3. Step 3: Cross multiply
    277,315x = 567,773 × 567,773
  4. Step 4: Simplify right side
    277,315x = 322,366,179,529
  5. Step 5: Solve for x
    x = 322,366,179,529/277,315
  6. Step 6: Final answer
    x = 1,162,454.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.