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Finding the Third Proportional to 325,046.67 and 700,117.17

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Solution

The third proportional to 325,046.67 and 700,117.17 is: 1,507,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,046.67 : 700,117.17 = 700,117.17 : x
  2. Step 2: Convert to fraction form
    325,046.67/700,117.17 = 700,117.17/x
  3. Step 3: Cross multiply
    325,046.67x = 700,117.17 × 700,117.17
  4. Step 4: Simplify right side
    325,046.67x = 490,164,054,354.25
  5. Step 5: Solve for x
    x = 490,164,054,354.25/325,046.67
  6. Step 6: Final answer
    x = 1,507,980.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.