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Finding the Third Proportional to 369,804 and 757,132

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Solution

The third proportional to 369,804 and 757,132 is: 1,550,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,804 : 757,132 = 757,132 : x
  2. Step 2: Convert to fraction form
    369,804/757,132 = 757,132/x
  3. Step 3: Cross multiply
    369,804x = 757,132 × 757,132
  4. Step 4: Simplify right side
    369,804x = 573,248,865,424
  5. Step 5: Solve for x
    x = 573,248,865,424/369,804
  6. Step 6: Final answer
    x = 1,550,142.41

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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.