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Finding the Third Proportional to 297,480.94 and 433,760.06

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Solution

The third proportional to 297,480.94 and 433,760.06 is: 632,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,480.94 : 433,760.06 = 433,760.06 : x
  2. Step 2: Convert to fraction form
    297,480.94/433,760.06 = 433,760.06/x
  3. Step 3: Cross multiply
    297,480.94x = 433,760.06 × 433,760.06
  4. Step 4: Simplify right side
    297,480.94x = 188,147,791,820.00
  5. Step 5: Solve for x
    x = 188,147,791,820.00/297,480.94
  6. Step 6: Final answer
    x = 632,470.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.