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Finding the Third Proportional to 397,356 and 865,648

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Solution

The third proportional to 397,356 and 865,648 is: 1,885,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,356 : 865,648 = 865,648 : x
  2. Step 2: Convert to fraction form
    397,356/865,648 = 865,648/x
  3. Step 3: Cross multiply
    397,356x = 865,648 × 865,648
  4. Step 4: Simplify right side
    397,356x = 749,346,459,904
  5. Step 5: Solve for x
    x = 749,346,459,904/397,356
  6. Step 6: Final answer
    x = 1,885,831.50

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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.