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Finding the Third Proportional to 275,278 and 402,290

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Solution

The third proportional to 275,278 and 402,290 is: 587,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,278 : 402,290 = 402,290 : x
  2. Step 2: Convert to fraction form
    275,278/402,290 = 402,290/x
  3. Step 3: Cross multiply
    275,278x = 402,290 × 402,290
  4. Step 4: Simplify right side
    275,278x = 161,837,244,100
  5. Step 5: Solve for x
    x = 161,837,244,100/275,278
  6. Step 6: Final answer
    x = 587,904.75

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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.