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Finding the Third Proportional to 694,093.50 and 1,514,304

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Solution

The third proportional to 694,093.50 and 1,514,304 is: 3,303,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,093.50 : 1,514,304 = 1,514,304 : x
  2. Step 2: Convert to fraction form
    694,093.50/1,514,304 = 1,514,304/x
  3. Step 3: Cross multiply
    694,093.50x = 1,514,304 × 1,514,304
  4. Step 4: Simplify right side
    694,093.50x = 2,293,116,604,416
  5. Step 5: Solve for x
    x = 2,293,116,604,416/694,093.50
  6. Step 6: Final answer
    x = 3,303,757.50

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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.