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Finding the Third Proportional to 322,504 and 700,220

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Solution

The third proportional to 322,504 and 700,220 is: 1,520,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,504 : 700,220 = 700,220 : x
  2. Step 2: Convert to fraction form
    322,504/700,220 = 700,220/x
  3. Step 3: Cross multiply
    322,504x = 700,220 × 700,220
  4. Step 4: Simplify right side
    322,504x = 490,308,048,400
  5. Step 5: Solve for x
    x = 490,308,048,400/322,504
  6. Step 6: Final answer
    x = 1,520,316.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.