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Finding the Third Proportional to 369,792 and 757,107

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Solution

The third proportional to 369,792 and 757,107 is: 1,550,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,792 : 757,107 = 757,107 : x
  2. Step 2: Convert to fraction form
    369,792/757,107 = 757,107/x
  3. Step 3: Cross multiply
    369,792x = 757,107 × 757,107
  4. Step 4: Simplify right side
    369,792x = 573,211,009,449
  5. Step 5: Solve for x
    x = 573,211,009,449/369,792
  6. Step 6: Final answer
    x = 1,550,090.35

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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.