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Finding the Third Proportional to 435,730.31 and 666,136.50

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Solution

The third proportional to 435,730.31 and 666,136.50 is: 1,018,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,730.31 : 666,136.50 = 666,136.50 : x
  2. Step 2: Convert to fraction form
    435,730.31/666,136.50 = 666,136.50/x
  3. Step 3: Cross multiply
    435,730.31x = 666,136.50 × 666,136.50
  4. Step 4: Simplify right side
    435,730.31x = 443,737,836,632.25
  5. Step 5: Solve for x
    x = 443,737,836,632.25/435,730.31
  6. Step 6: Final answer
    x = 1,018,377.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.