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Finding the Third Proportional to 306,110 and 714,818.50

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Solution

The third proportional to 306,110 and 714,818.50 is: 1,669,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110 : 714,818.50 = 714,818.50 : x
  2. Step 2: Convert to fraction form
    306,110/714,818.50 = 714,818.50/x
  3. Step 3: Cross multiply
    306,110x = 714,818.50 × 714,818.50
  4. Step 4: Simplify right side
    306,110x = 510,965,487,942.25
  5. Step 5: Solve for x
    x = 510,965,487,942.25/306,110
  6. Step 6: Final answer
    x = 1,669,221.81

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.