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Finding the Third Proportional to 320,712 and 701,580

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Solution

The third proportional to 320,712 and 701,580 is: 1,534,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,712 : 701,580 = 701,580 : x
  2. Step 2: Convert to fraction form
    320,712/701,580 = 701,580/x
  3. Step 3: Cross multiply
    320,712x = 701,580 × 701,580
  4. Step 4: Simplify right side
    320,712x = 492,214,496,400
  5. Step 5: Solve for x
    x = 492,214,496,400/320,712
  6. Step 6: Final answer
    x = 1,534,755.47

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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.