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Finding the Third Proportional to 420,837 and 652,966.50

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Solution

The third proportional to 420,837 and 652,966.50 is: 1,013,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,837 : 652,966.50 = 652,966.50 : x
  2. Step 2: Convert to fraction form
    420,837/652,966.50 = 652,966.50/x
  3. Step 3: Cross multiply
    420,837x = 652,966.50 × 652,966.50
  4. Step 4: Simplify right side
    420,837x = 426,365,250,122.25
  5. Step 5: Solve for x
    x = 426,365,250,122.25/420,837
  6. Step 6: Final answer
    x = 1,013,136.32

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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.