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Finding the Third Proportional to 305,904 and 661,008

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Solution

The third proportional to 305,904 and 661,008 is: 1,428,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,904 : 661,008 = 661,008 : x
  2. Step 2: Convert to fraction form
    305,904/661,008 = 661,008/x
  3. Step 3: Cross multiply
    305,904x = 661,008 × 661,008
  4. Step 4: Simplify right side
    305,904x = 436,931,576,064
  5. Step 5: Solve for x
    x = 436,931,576,064/305,904
  6. Step 6: Final answer
    x = 1,428,329.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.