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Finding the Third Proportional to 420,843 and 652,975.50

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Solution

The third proportional to 420,843 and 652,975.50 is: 1,013,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,843 : 652,975.50 = 652,975.50 : x
  2. Step 2: Convert to fraction form
    420,843/652,975.50 = 652,975.50/x
  3. Step 3: Cross multiply
    420,843x = 652,975.50 × 652,975.50
  4. Step 4: Simplify right side
    420,843x = 426,377,003,600.25
  5. Step 5: Solve for x
    x = 426,377,003,600.25/420,843
  6. Step 6: Final answer
    x = 1,013,149.81

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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.