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Finding the Third Proportional to 355,068 and 769,226

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Solution

The third proportional to 355,068 and 769,226 is: 1,666,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,068 : 769,226 = 769,226 : x
  2. Step 2: Convert to fraction form
    355,068/769,226 = 769,226/x
  3. Step 3: Cross multiply
    355,068x = 769,226 × 769,226
  4. Step 4: Simplify right side
    355,068x = 591,708,639,076
  5. Step 5: Solve for x
    x = 591,708,639,076/355,068
  6. Step 6: Final answer
    x = 1,666,465.69

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Why These Related Problems?

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