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Finding the Third Proportional to 469,922 and 705,027

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Solution

The third proportional to 469,922 and 705,027 is: 1,057,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,922 : 705,027 = 705,027 : x
  2. Step 2: Convert to fraction form
    469,922/705,027 = 705,027/x
  3. Step 3: Cross multiply
    469,922x = 705,027 × 705,027
  4. Step 4: Simplify right side
    469,922x = 497,063,070,729
  5. Step 5: Solve for x
    x = 497,063,070,729/469,922
  6. Step 6: Final answer
    x = 1,057,756.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.