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Finding the Third Proportional to 298,764 and 448,470

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Solution

The third proportional to 298,764 and 448,470 is: 673,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,764 : 448,470 = 448,470 : x
  2. Step 2: Convert to fraction form
    298,764/448,470 = 448,470/x
  3. Step 3: Cross multiply
    298,764x = 448,470 × 448,470
  4. Step 4: Simplify right side
    298,764x = 201,125,340,900
  5. Step 5: Solve for x
    x = 201,125,340,900/298,764
  6. Step 6: Final answer
    x = 673,191.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.