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Finding the Third Proportional to 277,932 and 599,064

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Solution

The third proportional to 277,932 and 599,064 is: 1,291,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,932 : 599,064 = 599,064 : x
  2. Step 2: Convert to fraction form
    277,932/599,064 = 599,064/x
  3. Step 3: Cross multiply
    277,932x = 599,064 × 599,064
  4. Step 4: Simplify right side
    277,932x = 358,877,676,096
  5. Step 5: Solve for x
    x = 358,877,676,096/277,932
  6. Step 6: Final answer
    x = 1,291,242.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.