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Finding the Third Proportional to 388,152 and 822,960

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Solution

The third proportional to 388,152 and 822,960 is: 1,744,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,152 : 822,960 = 822,960 : x
  2. Step 2: Convert to fraction form
    388,152/822,960 = 822,960/x
  3. Step 3: Cross multiply
    388,152x = 822,960 × 822,960
  4. Step 4: Simplify right side
    388,152x = 677,263,161,600
  5. Step 5: Solve for x
    x = 677,263,161,600/388,152
  6. Step 6: Final answer
    x = 1,744,840.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.