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Finding the Third Proportional to 349,417.13 and 748,664.44

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Solution

The third proportional to 349,417.13 and 748,664.44 is: 1,604,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,417.13 : 748,664.44 = 748,664.44 : x
  2. Step 2: Convert to fraction form
    349,417.13/748,664.44 = 748,664.44/x
  3. Step 3: Cross multiply
    349,417.13x = 748,664.44 × 748,664.44
  4. Step 4: Simplify right side
    349,417.13x = 560,498,439,977.19
  5. Step 5: Solve for x
    x = 560,498,439,977.19/349,417.13
  6. Step 6: Final answer
    x = 1,604,095.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.