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Finding the Third Proportional to 320,352 and 486,148

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Solution

The third proportional to 320,352 and 486,148 is: 737,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,352 : 486,148 = 486,148 : x
  2. Step 2: Convert to fraction form
    320,352/486,148 = 486,148/x
  3. Step 3: Cross multiply
    320,352x = 486,148 × 486,148
  4. Step 4: Simplify right side
    320,352x = 236,339,877,904
  5. Step 5: Solve for x
    x = 236,339,877,904/320,352
  6. Step 6: Final answer
    x = 737,750.59

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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.