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Finding the Third Proportional to 545,508 and 733,792.50

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Solution

The third proportional to 545,508 and 733,792.50 is: 987,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,508 : 733,792.50 = 733,792.50 : x
  2. Step 2: Convert to fraction form
    545,508/733,792.50 = 733,792.50/x
  3. Step 3: Cross multiply
    545,508x = 733,792.50 × 733,792.50
  4. Step 4: Simplify right side
    545,508x = 538,451,433,056.25
  5. Step 5: Solve for x
    x = 538,451,433,056.25/545,508
  6. Step 6: Final answer
    x = 987,064.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.