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Finding the Third Proportional to 319,704 and 700,320

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Solution

The third proportional to 319,704 and 700,320 is: 1,534,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,704 : 700,320 = 700,320 : x
  2. Step 2: Convert to fraction form
    319,704/700,320 = 700,320/x
  3. Step 3: Cross multiply
    319,704x = 700,320 × 700,320
  4. Step 4: Simplify right side
    319,704x = 490,448,102,400
  5. Step 5: Solve for x
    x = 490,448,102,400/319,704
  6. Step 6: Final answer
    x = 1,534,069.33

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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.