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Finding the Third Proportional to 319,032 and 700,959

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Solution

The third proportional to 319,032 and 700,959 is: 1,540,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,032 : 700,959 = 700,959 : x
  2. Step 2: Convert to fraction form
    319,032/700,959 = 700,959/x
  3. Step 3: Cross multiply
    319,032x = 700,959 × 700,959
  4. Step 4: Simplify right side
    319,032x = 491,343,519,681
  5. Step 5: Solve for x
    x = 491,343,519,681/319,032
  6. Step 6: Final answer
    x = 1,540,107.32

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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.