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Finding the Third Proportional to 319,375.50 and 695,451

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Solution

The third proportional to 319,375.50 and 695,451 is: 1,514,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,375.50 : 695,451 = 695,451 : x
  2. Step 2: Convert to fraction form
    319,375.50/695,451 = 695,451/x
  3. Step 3: Cross multiply
    319,375.50x = 695,451 × 695,451
  4. Step 4: Simplify right side
    319,375.50x = 483,652,093,401
  5. Step 5: Solve for x
    x = 483,652,093,401/319,375.50
  6. Step 6: Final answer
    x = 1,514,368.18

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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.