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Finding the Third Proportional to 293,392.13 and 642,795.75

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Solution

The third proportional to 293,392.13 and 642,795.75 is: 1,408,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,392.13 : 642,795.75 = 642,795.75 : x
  2. Step 2: Convert to fraction form
    293,392.13/642,795.75 = 642,795.75/x
  3. Step 3: Cross multiply
    293,392.13x = 642,795.75 × 642,795.75
  4. Step 4: Simplify right side
    293,392.13x = 413,186,376,218.06
  5. Step 5: Solve for x
    x = 413,186,376,218.06/293,392.13
  6. Step 6: Final answer
    x = 1,408,307.66

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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.