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Finding the Third Proportional to 277,053.75 and 596,484

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Solution

The third proportional to 277,053.75 and 596,484 is: 1,284,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,053.75 : 596,484 = 596,484 : x
  2. Step 2: Convert to fraction form
    277,053.75/596,484 = 596,484/x
  3. Step 3: Cross multiply
    277,053.75x = 596,484 × 596,484
  4. Step 4: Simplify right side
    277,053.75x = 355,793,162,256
  5. Step 5: Solve for x
    x = 355,793,162,256/277,053.75
  6. Step 6: Final answer
    x = 1,284,202.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.