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Finding the Third Proportional to 277,520 and 416,319

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Solution

The third proportional to 277,520 and 416,319 is: 624,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,520 : 416,319 = 416,319 : x
  2. Step 2: Convert to fraction form
    277,520/416,319 = 416,319/x
  3. Step 3: Cross multiply
    277,520x = 416,319 × 416,319
  4. Step 4: Simplify right side
    277,520x = 173,321,509,761
  5. Step 5: Solve for x
    x = 173,321,509,761/277,520
  6. Step 6: Final answer
    x = 624,537.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.