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Finding the Third Proportional to 377,172.50 and 813,394

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Solution

The third proportional to 377,172.50 and 813,394 is: 1,754,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,172.50 : 813,394 = 813,394 : x
  2. Step 2: Convert to fraction form
    377,172.50/813,394 = 813,394/x
  3. Step 3: Cross multiply
    377,172.50x = 813,394 × 813,394
  4. Step 4: Simplify right side
    377,172.50x = 661,609,799,236
  5. Step 5: Solve for x
    x = 661,609,799,236/377,172.50
  6. Step 6: Final answer
    x = 1,754,130.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.