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Finding the Third Proportional to 333,520.88 and 729,320.63

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Solution

The third proportional to 333,520.88 and 729,320.63 is: 1,594,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,520.88 : 729,320.63 = 729,320.63 : x
  2. Step 2: Convert to fraction form
    333,520.88/729,320.63 = 729,320.63/x
  3. Step 3: Cross multiply
    333,520.88x = 729,320.63 × 729,320.63
  4. Step 4: Simplify right side
    333,520.88x = 531,908,574,050.39
  5. Step 5: Solve for x
    x = 531,908,574,050.39/333,520.88
  6. Step 6: Final answer
    x = 1,594,828.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.