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Finding the Third Proportional to 350,544 and 765,152

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Solution

The third proportional to 350,544 and 765,152 is: 1,670,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,544 : 765,152 = 765,152 : x
  2. Step 2: Convert to fraction form
    350,544/765,152 = 765,152/x
  3. Step 3: Cross multiply
    350,544x = 765,152 × 765,152
  4. Step 4: Simplify right side
    350,544x = 585,457,583,104
  5. Step 5: Solve for x
    x = 585,457,583,104/350,544
  6. Step 6: Final answer
    x = 1,670,140.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.