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Finding the Third Proportional to 335,831.06 and 709,567.59

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Solution

The third proportional to 335,831.06 and 709,567.59 is: 1,499,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,831.06 : 709,567.59 = 709,567.59 : x
  2. Step 2: Convert to fraction form
    335,831.06/709,567.59 = 709,567.59/x
  3. Step 3: Cross multiply
    335,831.06x = 709,567.59 × 709,567.59
  4. Step 4: Simplify right side
    335,831.06x = 503,486,170,100.17
  5. Step 5: Solve for x
    x = 503,486,170,100.17/335,831.06
  6. Step 6: Final answer
    x = 1,499,224.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.