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Finding the Third Proportional to 585,175.50 and 918,200.25

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Solution

The third proportional to 585,175.50 and 918,200.25 is: 1,440,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,175.50 : 918,200.25 = 918,200.25 : x
  2. Step 2: Convert to fraction form
    585,175.50/918,200.25 = 918,200.25/x
  3. Step 3: Cross multiply
    585,175.50x = 918,200.25 × 918,200.25
  4. Step 4: Simplify right side
    585,175.50x = 843,091,699,100.06
  5. Step 5: Solve for x
    x = 843,091,699,100.06/585,175.50
  6. Step 6: Final answer
    x = 1,440,750.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.