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Finding the Third Proportional to 320,374.50 and 475,623

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Solution

The third proportional to 320,374.50 and 475,623 is: 706,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,374.50 : 475,623 = 475,623 : x
  2. Step 2: Convert to fraction form
    320,374.50/475,623 = 475,623/x
  3. Step 3: Cross multiply
    320,374.50x = 475,623 × 475,623
  4. Step 4: Simplify right side
    320,374.50x = 226,217,238,129
  5. Step 5: Solve for x
    x = 226,217,238,129/320,374.50
  6. Step 6: Final answer
    x = 706,102.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.