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Finding the Third Proportional to 233,402.63 and 360,469.13

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Solution

The third proportional to 233,402.63 and 360,469.13 is: 556,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,402.63 : 360,469.13 = 360,469.13 : x
  2. Step 2: Convert to fraction form
    233,402.63/360,469.13 = 360,469.13/x
  3. Step 3: Cross multiply
    233,402.63x = 360,469.13 × 360,469.13
  4. Step 4: Simplify right side
    233,402.63x = 129,937,990,078.27
  5. Step 5: Solve for x
    x = 129,937,990,078.27/233,402.63
  6. Step 6: Final answer
    x = 556,711.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.