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Finding the Third Proportional to 374,842.50 and 816,240

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Solution

The third proportional to 374,842.50 and 816,240 is: 1,777,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,842.50 : 816,240 = 816,240 : x
  2. Step 2: Convert to fraction form
    374,842.50/816,240 = 816,240/x
  3. Step 3: Cross multiply
    374,842.50x = 816,240 × 816,240
  4. Step 4: Simplify right side
    374,842.50x = 666,247,737,600
  5. Step 5: Solve for x
    x = 666,247,737,600/374,842.50
  6. Step 6: Final answer
    x = 1,777,407.14

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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.