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Finding the Third Proportional to 547,377 and 871,661.50

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Solution

The third proportional to 547,377 and 871,661.50 is: 1,388,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,377 : 871,661.50 = 871,661.50 : x
  2. Step 2: Convert to fraction form
    547,377/871,661.50 = 871,661.50/x
  3. Step 3: Cross multiply
    547,377x = 871,661.50 × 871,661.50
  4. Step 4: Simplify right side
    547,377x = 759,793,770,582.25
  5. Step 5: Solve for x
    x = 759,793,770,582.25/547,377
  6. Step 6: Final answer
    x = 1,388,063.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.