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Finding the Third Proportional to 319,802 and 703,996

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Solution

The third proportional to 319,802 and 703,996 is: 1,549,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,802 : 703,996 = 703,996 : x
  2. Step 2: Convert to fraction form
    319,802/703,996 = 703,996/x
  3. Step 3: Cross multiply
    319,802x = 703,996 × 703,996
  4. Step 4: Simplify right side
    319,802x = 495,610,368,016
  5. Step 5: Solve for x
    x = 495,610,368,016/319,802
  6. Step 6: Final answer
    x = 1,549,741.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.