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Finding the Third Proportional to 325,164.38 and 500,428.13

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Solution

The third proportional to 325,164.38 and 500,428.13 is: 770,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,164.38 : 500,428.13 = 500,428.13 : x
  2. Step 2: Convert to fraction form
    325,164.38/500,428.13 = 500,428.13/x
  3. Step 3: Cross multiply
    325,164.38x = 500,428.13 × 500,428.13
  4. Step 4: Simplify right side
    325,164.38x = 250,428,308,291.02
  5. Step 5: Solve for x
    x = 250,428,308,291.02/325,164.38
  6. Step 6: Final answer
    x = 770,159.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.