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Finding the Third Proportional to 320,851.13 and 697,129.03

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Solution

The third proportional to 320,851.13 and 697,129.03 is: 1,514,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,851.13 : 697,129.03 = 697,129.03 : x
  2. Step 2: Convert to fraction form
    320,851.13/697,129.03 = 697,129.03/x
  3. Step 3: Cross multiply
    320,851.13x = 697,129.03 × 697,129.03
  4. Step 4: Simplify right side
    320,851.13x = 485,988,886,211.56
  5. Step 5: Solve for x
    x = 485,988,886,211.56/320,851.13
  6. Step 6: Final answer
    x = 1,514,686.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.