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Finding the Third Proportional to 397,048 and 865,482

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Solution

The third proportional to 397,048 and 865,482 is: 1,886,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,048 : 865,482 = 865,482 : x
  2. Step 2: Convert to fraction form
    397,048/865,482 = 865,482/x
  3. Step 3: Cross multiply
    397,048x = 865,482 × 865,482
  4. Step 4: Simplify right side
    397,048x = 749,059,092,324
  5. Step 5: Solve for x
    x = 749,059,092,324/397,048
  6. Step 6: Final answer
    x = 1,886,570.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.