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Finding the Third Proportional to 319,036 and 700,967

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Solution

The third proportional to 319,036 and 700,967 is: 1,540,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,036 : 700,967 = 700,967 : x
  2. Step 2: Convert to fraction form
    319,036/700,967 = 700,967/x
  3. Step 3: Cross multiply
    319,036x = 700,967 × 700,967
  4. Step 4: Simplify right side
    319,036x = 491,354,735,089
  5. Step 5: Solve for x
    x = 491,354,735,089/319,036
  6. Step 6: Final answer
    x = 1,540,123.17

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Why These Related Problems?

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