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Finding the Third Proportional to 483,381 and 746,941.50

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Solution

The third proportional to 483,381 and 746,941.50 is: 1,154,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,381 : 746,941.50 = 746,941.50 : x
  2. Step 2: Convert to fraction form
    483,381/746,941.50 = 746,941.50/x
  3. Step 3: Cross multiply
    483,381x = 746,941.50 × 746,941.50
  4. Step 4: Simplify right side
    483,381x = 557,921,604,422.25
  5. Step 5: Solve for x
    x = 557,921,604,422.25/483,381
  6. Step 6: Final answer
    x = 1,154,206.73

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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.