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Finding the Third Proportional to 268,073.02 and 417,935.11

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Solution

The third proportional to 268,073.02 and 417,935.11 is: 651,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,073.02 : 417,935.11 = 417,935.11 : x
  2. Step 2: Convert to fraction form
    268,073.02/417,935.11 = 417,935.11/x
  3. Step 3: Cross multiply
    268,073.02x = 417,935.11 × 417,935.11
  4. Step 4: Simplify right side
    268,073.02x = 174,669,755,648.29
  5. Step 5: Solve for x
    x = 174,669,755,648.29/268,073.02
  6. Step 6: Final answer
    x = 651,575.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.