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Finding the Third Proportional to 209,044 and 315,510

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Solution

The third proportional to 209,044 and 315,510 is: 476,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044 : 315,510 = 315,510 : x
  2. Step 2: Convert to fraction form
    209,044/315,510 = 315,510/x
  3. Step 3: Cross multiply
    209,044x = 315,510 × 315,510
  4. Step 4: Simplify right side
    209,044x = 99,546,560,100
  5. Step 5: Solve for x
    x = 99,546,560,100/209,044
  6. Step 6: Final answer
    x = 476,199.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.