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Finding the Third Proportional to 293,790 and 642,934.50

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Solution

The third proportional to 293,790 and 642,934.50 is: 1,407,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,790 : 642,934.50 = 642,934.50 : x
  2. Step 2: Convert to fraction form
    293,790/642,934.50 = 642,934.50/x
  3. Step 3: Cross multiply
    293,790x = 642,934.50 × 642,934.50
  4. Step 4: Simplify right side
    293,790x = 413,364,771,290.25
  5. Step 5: Solve for x
    x = 413,364,771,290.25/293,790
  6. Step 6: Final answer
    x = 1,407,007.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.