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Finding the Third Proportional to 397,232 and 864,352

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Solution

The third proportional to 397,232 and 864,352 is: 1,880,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,232 : 864,352 = 864,352 : x
  2. Step 2: Convert to fraction form
    397,232/864,352 = 864,352/x
  3. Step 3: Cross multiply
    397,232x = 864,352 × 864,352
  4. Step 4: Simplify right side
    397,232x = 747,104,379,904
  5. Step 5: Solve for x
    x = 747,104,379,904/397,232
  6. Step 6: Final answer
    x = 1,880,775.92

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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.