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Finding the Third Proportional to 397,752 and 865,464

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Solution

The third proportional to 397,752 and 865,464 is: 1,883,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,752 : 865,464 = 865,464 : x
  2. Step 2: Convert to fraction form
    397,752/865,464 = 865,464/x
  3. Step 3: Cross multiply
    397,752x = 865,464 × 865,464
  4. Step 4: Simplify right side
    397,752x = 749,027,935,296
  5. Step 5: Solve for x
    x = 749,027,935,296/397,752
  6. Step 6: Final answer
    x = 1,883,153.16

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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.