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Finding the Third Proportional to 393,686 and 610,762

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Solution

The third proportional to 393,686 and 610,762 is: 947,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,686 : 610,762 = 610,762 : x
  2. Step 2: Convert to fraction form
    393,686/610,762 = 610,762/x
  3. Step 3: Cross multiply
    393,686x = 610,762 × 610,762
  4. Step 4: Simplify right side
    393,686x = 373,030,220,644
  5. Step 5: Solve for x
    x = 373,030,220,644/393,686
  6. Step 6: Final answer
    x = 947,532.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.