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Finding the Third Proportional to 336,695.48 and 726,801.61

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Solution

The third proportional to 336,695.48 and 726,801.61 is: 1,568,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,695.48 : 726,801.61 = 726,801.61 : x
  2. Step 2: Convert to fraction form
    336,695.48/726,801.61 = 726,801.61/x
  3. Step 3: Cross multiply
    336,695.48x = 726,801.61 × 726,801.61
  4. Step 4: Simplify right side
    336,695.48x = 528,240,579,390.09
  5. Step 5: Solve for x
    x = 528,240,579,390.09/336,695.48
  6. Step 6: Final answer
    x = 1,568,897.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.