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Finding the Third Proportional to 315,306 and 691,932

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Solution

The third proportional to 315,306 and 691,932 is: 1,518,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306 : 691,932 = 691,932 : x
  2. Step 2: Convert to fraction form
    315,306/691,932 = 691,932/x
  3. Step 3: Cross multiply
    315,306x = 691,932 × 691,932
  4. Step 4: Simplify right side
    315,306x = 478,769,892,624
  5. Step 5: Solve for x
    x = 478,769,892,624/315,306
  6. Step 6: Final answer
    x = 1,518,429.38

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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.