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Finding the Third Proportional to 484,371 and 746,995.50

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Solution

The third proportional to 484,371 and 746,995.50 is: 1,152,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,371 : 746,995.50 = 746,995.50 : x
  2. Step 2: Convert to fraction form
    484,371/746,995.50 = 746,995.50/x
  3. Step 3: Cross multiply
    484,371x = 746,995.50 × 746,995.50
  4. Step 4: Simplify right side
    484,371x = 558,002,277,020.25
  5. Step 5: Solve for x
    x = 558,002,277,020.25/484,371
  6. Step 6: Final answer
    x = 1,152,014.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.