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Finding the Third Proportional to 275,270 and 402,284.50

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Solution

The third proportional to 275,270 and 402,284.50 is: 587,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,270 : 402,284.50 = 402,284.50 : x
  2. Step 2: Convert to fraction form
    275,270/402,284.50 = 402,284.50/x
  3. Step 3: Cross multiply
    275,270x = 402,284.50 × 402,284.50
  4. Step 4: Simplify right side
    275,270x = 161,832,818,940.25
  5. Step 5: Solve for x
    x = 161,832,818,940.25/275,270
  6. Step 6: Final answer
    x = 587,905.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.