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Finding the Third Proportional to 298,110 and 443,113

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Solution

The third proportional to 298,110 and 443,113 is: 658,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,110 : 443,113 = 443,113 : x
  2. Step 2: Convert to fraction form
    298,110/443,113 = 443,113/x
  3. Step 3: Cross multiply
    298,110x = 443,113 × 443,113
  4. Step 4: Simplify right side
    298,110x = 196,349,130,769
  5. Step 5: Solve for x
    x = 196,349,130,769/298,110
  6. Step 6: Final answer
    x = 658,646.58

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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.