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Finding the Third Proportional to 369,810 and 757,144

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Solution

The third proportional to 369,810 and 757,144 is: 1,550,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,810 : 757,144 = 757,144 : x
  2. Step 2: Convert to fraction form
    369,810/757,144 = 757,144/x
  3. Step 3: Cross multiply
    369,810x = 757,144 × 757,144
  4. Step 4: Simplify right side
    369,810x = 573,267,036,736
  5. Step 5: Solve for x
    x = 573,267,036,736/369,810
  6. Step 6: Final answer
    x = 1,550,166.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.