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Finding the Third Proportional to 277,560 and 416,331

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Solution

The third proportional to 277,560 and 416,331 is: 624,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,560 : 416,331 = 416,331 : x
  2. Step 2: Convert to fraction form
    277,560/416,331 = 416,331/x
  3. Step 3: Cross multiply
    277,560x = 416,331 × 416,331
  4. Step 4: Simplify right side
    277,560x = 173,331,501,561
  5. Step 5: Solve for x
    x = 173,331,501,561/277,560
  6. Step 6: Final answer
    x = 624,483.00

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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.