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Finding the Third Proportional to 316,044 and 693,912

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Solution

The third proportional to 316,044 and 693,912 is: 1,523,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,044 : 693,912 = 693,912 : x
  2. Step 2: Convert to fraction form
    316,044/693,912 = 693,912/x
  3. Step 3: Cross multiply
    316,044x = 693,912 × 693,912
  4. Step 4: Simplify right side
    316,044x = 481,513,863,744
  5. Step 5: Solve for x
    x = 481,513,863,744/316,044
  6. Step 6: Final answer
    x = 1,523,565.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.