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Finding the Third Proportional to 319,371.50 and 695,443

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Solution

The third proportional to 319,371.50 and 695,443 is: 1,514,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,371.50 : 695,443 = 695,443 : x
  2. Step 2: Convert to fraction form
    319,371.50/695,443 = 695,443/x
  3. Step 3: Cross multiply
    319,371.50x = 695,443 × 695,443
  4. Step 4: Simplify right side
    319,371.50x = 483,640,966,249
  5. Step 5: Solve for x
    x = 483,640,966,249/319,371.50
  6. Step 6: Final answer
    x = 1,514,352.30

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