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Finding the Third Proportional to 253.63 and 598.06

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Solution

The third proportional to 253.63 and 598.06 is: 1,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 598.06 = 598.06 : x
  2. Step 2: Convert to fraction form
    253.63/598.06 = 598.06/x
  3. Step 3: Cross multiply
    253.63x = 598.06 × 598.06
  4. Step 4: Simplify right side
    253.63x = 357,678.75
  5. Step 5: Solve for x
    x = 357,678.75/253.63
  6. Step 6: Final answer
    x = 1,410.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.