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Finding the Third Proportional to 601.13 and 1,263.56

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Solution

The third proportional to 601.13 and 1,263.56 is: 2,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.13 : 1,263.56 = 1,263.56 : x
  2. Step 2: Convert to fraction form
    601.13/1,263.56 = 1,263.56/x
  3. Step 3: Cross multiply
    601.13x = 1,263.56 × 1,263.56
  4. Step 4: Simplify right side
    601.13x = 1,596,590.19
  5. Step 5: Solve for x
    x = 1,596,590.19/601.13
  6. Step 6: Final answer
    x = 2,656.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.