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Finding the Third Proportional to 298,694.25 and 473,198.63

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Solution

The third proportional to 298,694.25 and 473,198.63 is: 749,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,694.25 : 473,198.63 = 473,198.63 : x
  2. Step 2: Convert to fraction form
    298,694.25/473,198.63 = 473,198.63/x
  3. Step 3: Cross multiply
    298,694.25x = 473,198.63 × 473,198.63
  4. Step 4: Simplify right side
    298,694.25x = 223,916,938,701.89
  5. Step 5: Solve for x
    x = 223,916,938,701.89/298,694.25
  6. Step 6: Final answer
    x = 749,652.66

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.