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Finding the Third Proportional to 452,288 and 664,608

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Solution

The third proportional to 452,288 and 664,608 is: 976,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,288 : 664,608 = 664,608 : x
  2. Step 2: Convert to fraction form
    452,288/664,608 = 664,608/x
  3. Step 3: Cross multiply
    452,288x = 664,608 × 664,608
  4. Step 4: Simplify right side
    452,288x = 441,703,793,664
  5. Step 5: Solve for x
    x = 441,703,793,664/452,288
  6. Step 6: Final answer
    x = 976,598.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.