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Finding the Third Proportional to 354,664.41 and 497,664.56

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Solution

The third proportional to 354,664.41 and 497,664.56 is: 698,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,664.41 : 497,664.56 = 497,664.56 : x
  2. Step 2: Convert to fraction form
    354,664.41/497,664.56 = 497,664.56/x
  3. Step 3: Cross multiply
    354,664.41x = 497,664.56 × 497,664.56
  4. Step 4: Simplify right side
    354,664.41x = 247,670,016,768.32
  5. Step 5: Solve for x
    x = 247,670,016,768.32/354,664.41
  6. Step 6: Final answer
    x = 698,322.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.