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Finding the Third Proportional to 350,400.94 and 537,166.69

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Solution

The third proportional to 350,400.94 and 537,166.69 is: 823,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,400.94 : 537,166.69 = 537,166.69 : x
  2. Step 2: Convert to fraction form
    350,400.94/537,166.69 = 537,166.69/x
  3. Step 3: Cross multiply
    350,400.94x = 537,166.69 × 537,166.69
  4. Step 4: Simplify right side
    350,400.94x = 288,548,050,159.72
  5. Step 5: Solve for x
    x = 288,548,050,159.72/350,400.94
  6. Step 6: Final answer
    x = 823,479.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.