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Finding the Third Proportional to 277,208 and 429,060

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Solution

The third proportional to 277,208 and 429,060 is: 664,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,208 : 429,060 = 429,060 : x
  2. Step 2: Convert to fraction form
    277,208/429,060 = 429,060/x
  3. Step 3: Cross multiply
    277,208x = 429,060 × 429,060
  4. Step 4: Simplify right side
    277,208x = 184,092,483,600
  5. Step 5: Solve for x
    x = 184,092,483,600/277,208
  6. Step 6: Final answer
    x = 664,095.13

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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.