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Finding the Third Proportional to 319,438 and 695,532

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Solution

The third proportional to 319,438 and 695,532 is: 1,514,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,438 : 695,532 = 695,532 : x
  2. Step 2: Convert to fraction form
    319,438/695,532 = 695,532/x
  3. Step 3: Cross multiply
    319,438x = 695,532 × 695,532
  4. Step 4: Simplify right side
    319,438x = 483,764,763,024
  5. Step 5: Solve for x
    x = 483,764,763,024/319,438
  6. Step 6: Final answer
    x = 1,514,424.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.