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Finding the Third Proportional to 452,136 and 699,456

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Solution

The third proportional to 452,136 and 699,456 is: 1,082,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,136 : 699,456 = 699,456 : x
  2. Step 2: Convert to fraction form
    452,136/699,456 = 699,456/x
  3. Step 3: Cross multiply
    452,136x = 699,456 × 699,456
  4. Step 4: Simplify right side
    452,136x = 489,238,695,936
  5. Step 5: Solve for x
    x = 489,238,695,936/452,136
  6. Step 6: Final answer
    x = 1,082,060.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.