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Finding the Third Proportional to 319,943 and 700,150

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Solution

The third proportional to 319,943 and 700,150 is: 1,532,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,943 : 700,150 = 700,150 : x
  2. Step 2: Convert to fraction form
    319,943/700,150 = 700,150/x
  3. Step 3: Cross multiply
    319,943x = 700,150 × 700,150
  4. Step 4: Simplify right side
    319,943x = 490,210,022,500
  5. Step 5: Solve for x
    x = 490,210,022,500/319,943
  6. Step 6: Final answer
    x = 1,532,179.24

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