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Finding the Third Proportional to 407.50 and 875.50

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Solution

The third proportional to 407.50 and 875.50 is: 1,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 875.50 = 875.50 : x
  2. Step 2: Convert to fraction form
    407.50/875.50 = 875.50/x
  3. Step 3: Cross multiply
    407.50x = 875.50 × 875.50
  4. Step 4: Simplify right side
    407.50x = 766,500.25
  5. Step 5: Solve for x
    x = 766,500.25/407.50
  6. Step 6: Final answer
    x = 1,880.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.