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Finding the Third Proportional to 202,504 and 417,968

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Solution

The third proportional to 202,504 and 417,968 is: 862,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,504 : 417,968 = 417,968 : x
  2. Step 2: Convert to fraction form
    202,504/417,968 = 417,968/x
  3. Step 3: Cross multiply
    202,504x = 417,968 × 417,968
  4. Step 4: Simplify right side
    202,504x = 174,697,249,024
  5. Step 5: Solve for x
    x = 174,697,249,024/202,504
  6. Step 6: Final answer
    x = 862,685.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.