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Finding the Third Proportional to 277,024 and 413,713

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Solution

The third proportional to 277,024 and 413,713 is: 617,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,024 : 413,713 = 413,713 : x
  2. Step 2: Convert to fraction form
    277,024/413,713 = 413,713/x
  3. Step 3: Cross multiply
    277,024x = 413,713 × 413,713
  4. Step 4: Simplify right side
    277,024x = 171,158,446,369
  5. Step 5: Solve for x
    x = 171,158,446,369/277,024
  6. Step 6: Final answer
    x = 617,847.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.