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Finding the Third Proportional to 653,136.75 and 989,550

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Solution

The third proportional to 653,136.75 and 989,550 is: 1,499,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,136.75 : 989,550 = 989,550 : x
  2. Step 2: Convert to fraction form
    653,136.75/989,550 = 989,550/x
  3. Step 3: Cross multiply
    653,136.75x = 989,550 × 989,550
  4. Step 4: Simplify right side
    653,136.75x = 979,209,202,500
  5. Step 5: Solve for x
    x = 979,209,202,500/653,136.75
  6. Step 6: Final answer
    x = 1,499,240.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.