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Finding the Third Proportional to 264,831.19 and 573,657.19

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Solution

The third proportional to 264,831.19 and 573,657.19 is: 1,242,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,831.19 : 573,657.19 = 573,657.19 : x
  2. Step 2: Convert to fraction form
    264,831.19/573,657.19 = 573,657.19/x
  3. Step 3: Cross multiply
    264,831.19x = 573,657.19 × 573,657.19
  4. Step 4: Simplify right side
    264,831.19x = 329,082,568,770.41
  5. Step 5: Solve for x
    x = 329,082,568,770.41/264,831.19
  6. Step 6: Final answer
    x = 1,242,612.59

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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.