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Finding the Third Proportional to 259.94 and 607.56

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Solution

The third proportional to 259.94 and 607.56 is: 1,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.94 : 607.56 = 607.56 : x
  2. Step 2: Convert to fraction form
    259.94/607.56 = 607.56/x
  3. Step 3: Cross multiply
    259.94x = 607.56 × 607.56
  4. Step 4: Simplify right side
    259.94x = 369,132.19
  5. Step 5: Solve for x
    x = 369,132.19/259.94
  6. Step 6: Final answer
    x = 1,420.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.