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Finding the Third Proportional to 486,190 and 735,994

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Solution

The third proportional to 486,190 and 735,994 is: 1,114,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,190 : 735,994 = 735,994 : x
  2. Step 2: Convert to fraction form
    486,190/735,994 = 735,994/x
  3. Step 3: Cross multiply
    486,190x = 735,994 × 735,994
  4. Step 4: Simplify right side
    486,190x = 541,687,168,036
  5. Step 5: Solve for x
    x = 541,687,168,036/486,190
  6. Step 6: Final answer
    x = 1,114,147.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.