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Finding the Third Proportional to 316,914 and 690,692

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Solution

The third proportional to 316,914 and 690,692 is: 1,505,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,914 : 690,692 = 690,692 : x
  2. Step 2: Convert to fraction form
    316,914/690,692 = 690,692/x
  3. Step 3: Cross multiply
    316,914x = 690,692 × 690,692
  4. Step 4: Simplify right side
    316,914x = 477,055,438,864
  5. Step 5: Solve for x
    x = 477,055,438,864/316,914
  6. Step 6: Final answer
    x = 1,505,315.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.