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Finding the Third Proportional to 637.00 and 1,410.68

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Solution

The third proportional to 637.00 and 1,410.68 is: 3,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.00 : 1,410.68 = 1,410.68 : x
  2. Step 2: Convert to fraction form
    637.00/1,410.68 = 1,410.68/x
  3. Step 3: Cross multiply
    637.00x = 1,410.68 × 1,410.68
  4. Step 4: Simplify right side
    637.00x = 1,990,017.18
  5. Step 5: Solve for x
    x = 1,990,017.18/637.00
  6. Step 6: Final answer
    x = 3,124.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.