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Finding the Third Proportional to 356,329.13 and 522,809.44

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Solution

The third proportional to 356,329.13 and 522,809.44 is: 767,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,329.13 : 522,809.44 = 522,809.44 : x
  2. Step 2: Convert to fraction form
    356,329.13/522,809.44 = 522,809.44/x
  3. Step 3: Cross multiply
    356,329.13x = 522,809.44 × 522,809.44
  4. Step 4: Simplify right side
    356,329.13x = 273,329,707,939.07
  5. Step 5: Solve for x
    x = 273,329,707,939.07/356,329.13
  6. Step 6: Final answer
    x = 767,070.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.