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Finding the Third Proportional to 316,298 and 691,732

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Solution

The third proportional to 316,298 and 691,732 is: 1,512,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,298 : 691,732 = 691,732 : x
  2. Step 2: Convert to fraction form
    316,298/691,732 = 691,732/x
  3. Step 3: Cross multiply
    316,298x = 691,732 × 691,732
  4. Step 4: Simplify right side
    316,298x = 478,493,159,824
  5. Step 5: Solve for x
    x = 478,493,159,824/316,298
  6. Step 6: Final answer
    x = 1,512,792.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.