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Finding the Third Proportional to 325.48 and 711.63

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Solution

The third proportional to 325.48 and 711.63 is: 1,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.48 : 711.63 = 711.63 : x
  2. Step 2: Convert to fraction form
    325.48/711.63 = 711.63/x
  3. Step 3: Cross multiply
    325.48x = 711.63 × 711.63
  4. Step 4: Simplify right side
    325.48x = 506,421.26
  5. Step 5: Solve for x
    x = 506,421.26/325.48
  6. Step 6: Final answer
    x = 1,555.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.