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Finding the Third Proportional to 374,493.75 and 801,475.50

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Solution

The third proportional to 374,493.75 and 801,475.50 is: 1,715,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,493.75 : 801,475.50 = 801,475.50 : x
  2. Step 2: Convert to fraction form
    374,493.75/801,475.50 = 801,475.50/x
  3. Step 3: Cross multiply
    374,493.75x = 801,475.50 × 801,475.50
  4. Step 4: Simplify right side
    374,493.75x = 642,362,977,100.25
  5. Step 5: Solve for x
    x = 642,362,977,100.25/374,493.75
  6. Step 6: Final answer
    x = 1,715,283.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.