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Finding the Third Proportional to 324,965 and 701,310

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Solution

The third proportional to 324,965 and 701,310 is: 1,513,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,965 : 701,310 = 701,310 : x
  2. Step 2: Convert to fraction form
    324,965/701,310 = 701,310/x
  3. Step 3: Cross multiply
    324,965x = 701,310 × 701,310
  4. Step 4: Simplify right side
    324,965x = 491,835,716,100
  5. Step 5: Solve for x
    x = 491,835,716,100/324,965
  6. Step 6: Final answer
    x = 1,513,503.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.