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Finding the Third Proportional to 304,716.94 and 656,262

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Solution

The third proportional to 304,716.94 and 656,262 is: 1,413,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,716.94 : 656,262 = 656,262 : x
  2. Step 2: Convert to fraction form
    304,716.94/656,262 = 656,262/x
  3. Step 3: Cross multiply
    304,716.94x = 656,262 × 656,262
  4. Step 4: Simplify right side
    304,716.94x = 430,679,812,644
  5. Step 5: Solve for x
    x = 430,679,812,644/304,716.94
  6. Step 6: Final answer
    x = 1,413,376.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.