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Finding the Third Proportional to 469.55 and 715.39

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Solution

The third proportional to 469.55 and 715.39 is: 1,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 715.39 = 715.39 : x
  2. Step 2: Convert to fraction form
    469.55/715.39 = 715.39/x
  3. Step 3: Cross multiply
    469.55x = 715.39 × 715.39
  4. Step 4: Simplify right side
    469.55x = 511,789.34
  5. Step 5: Solve for x
    x = 511,789.34/469.55
  6. Step 6: Final answer
    x = 1,089.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.