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Finding the Third Proportional to 293,945.06 and 429,574.69

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Solution

The third proportional to 293,945.06 and 429,574.69 is: 627,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,945.06 : 429,574.69 = 429,574.69 : x
  2. Step 2: Convert to fraction form
    293,945.06/429,574.69 = 429,574.69/x
  3. Step 3: Cross multiply
    293,945.06x = 429,574.69 × 429,574.69
  4. Step 4: Simplify right side
    293,945.06x = 184,534,412,140.72
  5. Step 5: Solve for x
    x = 184,534,412,140.72/293,945.06
  6. Step 6: Final answer
    x = 627,785.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.