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Finding the Third Proportional to 362,609 and 785,482

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Solution

The third proportional to 362,609 and 785,482 is: 1,701,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,609 : 785,482 = 785,482 : x
  2. Step 2: Convert to fraction form
    362,609/785,482 = 785,482/x
  3. Step 3: Cross multiply
    362,609x = 785,482 × 785,482
  4. Step 4: Simplify right side
    362,609x = 616,981,972,324
  5. Step 5: Solve for x
    x = 616,981,972,324/362,609
  6. Step 6: Final answer
    x = 1,701,507.61

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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.