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Finding the Third Proportional to 277,039 and 429,815

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Solution

The third proportional to 277,039 and 429,815 is: 666,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,039 : 429,815 = 429,815 : x
  2. Step 2: Convert to fraction form
    277,039/429,815 = 429,815/x
  3. Step 3: Cross multiply
    277,039x = 429,815 × 429,815
  4. Step 4: Simplify right side
    277,039x = 184,740,934,225
  5. Step 5: Solve for x
    x = 184,740,934,225/277,039
  6. Step 6: Final answer
    x = 666,840.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.