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Finding the Third Proportional to 353,697.13 and 767,207.13

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Solution

The third proportional to 353,697.13 and 767,207.13 is: 1,664,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,697.13 : 767,207.13 = 767,207.13 : x
  2. Step 2: Convert to fraction form
    353,697.13/767,207.13 = 767,207.13/x
  3. Step 3: Cross multiply
    353,697.13x = 767,207.13 × 767,207.13
  4. Step 4: Simplify right side
    353,697.13x = 588,606,772,650.77
  5. Step 5: Solve for x
    x = 588,606,772,650.77/353,697.13
  6. Step 6: Final answer
    x = 1,664,154.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.