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Finding the Third Proportional to 345,136.50 and 750,996

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Solution

The third proportional to 345,136.50 and 750,996 is: 1,634,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,136.50 : 750,996 = 750,996 : x
  2. Step 2: Convert to fraction form
    345,136.50/750,996 = 750,996/x
  3. Step 3: Cross multiply
    345,136.50x = 750,996 × 750,996
  4. Step 4: Simplify right side
    345,136.50x = 563,994,992,016
  5. Step 5: Solve for x
    x = 563,994,992,016/345,136.50
  6. Step 6: Final answer
    x = 1,634,121.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.