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Finding the Third Proportional to 298,799 and 645,136

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Solution

The third proportional to 298,799 and 645,136 is: 1,392,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,799 : 645,136 = 645,136 : x
  2. Step 2: Convert to fraction form
    298,799/645,136 = 645,136/x
  3. Step 3: Cross multiply
    298,799x = 645,136 × 645,136
  4. Step 4: Simplify right side
    298,799x = 416,200,458,496
  5. Step 5: Solve for x
    x = 416,200,458,496/298,799
  6. Step 6: Final answer
    x = 1,392,911.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.