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Finding the Third Proportional to 304,716 and 705,318

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Solution

The third proportional to 304,716 and 705,318 is: 1,632,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,716 : 705,318 = 705,318 : x
  2. Step 2: Convert to fraction form
    304,716/705,318 = 705,318/x
  3. Step 3: Cross multiply
    304,716x = 705,318 × 705,318
  4. Step 4: Simplify right side
    304,716x = 497,473,481,124
  5. Step 5: Solve for x
    x = 497,473,481,124/304,716
  6. Step 6: Final answer
    x = 1,632,580.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.