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Finding the Third Proportional to 383,136 and 612,060

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Solution

The third proportional to 383,136 and 612,060 is: 977,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,136 : 612,060 = 612,060 : x
  2. Step 2: Convert to fraction form
    383,136/612,060 = 612,060/x
  3. Step 3: Cross multiply
    383,136x = 612,060 × 612,060
  4. Step 4: Simplify right side
    383,136x = 374,617,443,600
  5. Step 5: Solve for x
    x = 374,617,443,600/383,136
  6. Step 6: Final answer
    x = 977,766.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.