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Finding the Third Proportional to 298,215 and 443,272.50

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Solution

The third proportional to 298,215 and 443,272.50 is: 658,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,215 : 443,272.50 = 443,272.50 : x
  2. Step 2: Convert to fraction form
    298,215/443,272.50 = 443,272.50/x
  3. Step 3: Cross multiply
    298,215x = 443,272.50 × 443,272.50
  4. Step 4: Simplify right side
    298,215x = 196,490,509,256.25
  5. Step 5: Solve for x
    x = 196,490,509,256.25/298,215
  6. Step 6: Final answer
    x = 658,888.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.