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Finding the Third Proportional to 298,944 and 453,951.50

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Solution

The third proportional to 298,944 and 453,951.50 is: 689,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944 : 453,951.50 = 453,951.50 : x
  2. Step 2: Convert to fraction form
    298,944/453,951.50 = 453,951.50/x
  3. Step 3: Cross multiply
    298,944x = 453,951.50 × 453,951.50
  4. Step 4: Simplify right side
    298,944x = 206,071,964,352.25
  5. Step 5: Solve for x
    x = 206,071,964,352.25/298,944
  6. Step 6: Final answer
    x = 689,333.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.