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Finding the Third Proportional to 402,321 and 863,058

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Solution

The third proportional to 402,321 and 863,058 is: 1,851,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,321 : 863,058 = 863,058 : x
  2. Step 2: Convert to fraction form
    402,321/863,058 = 863,058/x
  3. Step 3: Cross multiply
    402,321x = 863,058 × 863,058
  4. Step 4: Simplify right side
    402,321x = 744,869,111,364
  5. Step 5: Solve for x
    x = 744,869,111,364/402,321
  6. Step 6: Final answer
    x = 1,851,429.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.