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Finding the Third Proportional to 369,069.75 and 602,651.25

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Solution

The third proportional to 369,069.75 and 602,651.25 is: 984,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,069.75 : 602,651.25 = 602,651.25 : x
  2. Step 2: Convert to fraction form
    369,069.75/602,651.25 = 602,651.25/x
  3. Step 3: Cross multiply
    369,069.75x = 602,651.25 × 602,651.25
  4. Step 4: Simplify right side
    369,069.75x = 363,188,529,126.56
  5. Step 5: Solve for x
    x = 363,188,529,126.56/369,069.75
  6. Step 6: Final answer
    x = 984,064.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.