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Finding the Third Proportional to 293,365.13 and 613,931.06

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Solution

The third proportional to 293,365.13 and 613,931.06 is: 1,284,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,365.13 : 613,931.06 = 613,931.06 : x
  2. Step 2: Convert to fraction form
    293,365.13/613,931.06 = 613,931.06/x
  3. Step 3: Cross multiply
    293,365.13x = 613,931.06 × 613,931.06
  4. Step 4: Simplify right side
    293,365.13x = 376,911,349,502.38
  5. Step 5: Solve for x
    x = 376,911,349,502.38/293,365.13
  6. Step 6: Final answer
    x = 1,284,785.81

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.