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Finding the Third Proportional to 427,963 and 662,327

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Solution

The third proportional to 427,963 and 662,327 is: 1,025,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,963 : 662,327 = 662,327 : x
  2. Step 2: Convert to fraction form
    427,963/662,327 = 662,327/x
  3. Step 3: Cross multiply
    427,963x = 662,327 × 662,327
  4. Step 4: Simplify right side
    427,963x = 438,677,054,929
  5. Step 5: Solve for x
    x = 438,677,054,929/427,963
  6. Step 6: Final answer
    x = 1,025,035.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.