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Finding the Third Proportional to 319,517.16 and 700,145.02

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Solution

The third proportional to 319,517.16 and 700,145.02 is: 1,534,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,517.16 : 700,145.02 = 700,145.02 : x
  2. Step 2: Convert to fraction form
    319,517.16/700,145.02 = 700,145.02/x
  3. Step 3: Cross multiply
    319,517.16x = 700,145.02 × 700,145.02
  4. Step 4: Simplify right side
    319,517.16x = 490,203,042,904.53
  5. Step 5: Solve for x
    x = 490,203,042,904.53/319,517.16
  6. Step 6: Final answer
    x = 1,534,199.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.