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Finding the Third Proportional to 208,718 and 451,468

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Solution

The third proportional to 208,718 and 451,468 is: 976,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,718 : 451,468 = 451,468 : x
  2. Step 2: Convert to fraction form
    208,718/451,468 = 451,468/x
  3. Step 3: Cross multiply
    208,718x = 451,468 × 451,468
  4. Step 4: Simplify right side
    208,718x = 203,823,355,024
  5. Step 5: Solve for x
    x = 203,823,355,024/208,718
  6. Step 6: Final answer
    x = 976,549.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.