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Finding the Third Proportional to 465,052 and 700,994

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Solution

The third proportional to 465,052 and 700,994 is: 1,056,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,052 : 700,994 = 700,994 : x
  2. Step 2: Convert to fraction form
    465,052/700,994 = 700,994/x
  3. Step 3: Cross multiply
    465,052x = 700,994 × 700,994
  4. Step 4: Simplify right side
    465,052x = 491,392,588,036
  5. Step 5: Solve for x
    x = 491,392,588,036/465,052
  6. Step 6: Final answer
    x = 1,056,640.09

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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.