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Finding the Third Proportional to 295,336.13 and 644,127.19

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Solution

The third proportional to 295,336.13 and 644,127.19 is: 1,404,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,336.13 : 644,127.19 = 644,127.19 : x
  2. Step 2: Convert to fraction form
    295,336.13/644,127.19 = 644,127.19/x
  3. Step 3: Cross multiply
    295,336.13x = 644,127.19 × 644,127.19
  4. Step 4: Simplify right side
    295,336.13x = 414,899,833,676.66
  5. Step 5: Solve for x
    x = 414,899,833,676.66/295,336.13
  6. Step 6: Final answer
    x = 1,404,839.43

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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.