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Finding the Third Proportional to 353,632.13 and 723,605.63

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Solution

The third proportional to 353,632.13 and 723,605.63 is: 1,480,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,632.13 : 723,605.63 = 723,605.63 : x
  2. Step 2: Convert to fraction form
    353,632.13/723,605.63 = 723,605.63/x
  3. Step 3: Cross multiply
    353,632.13x = 723,605.63 × 723,605.63
  4. Step 4: Simplify right side
    353,632.13x = 523,605,100,531.64
  5. Step 5: Solve for x
    x = 523,605,100,531.64/353,632.13
  6. Step 6: Final answer
    x = 1,480,649.14

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.