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Finding the Third Proportional to 370,114 and 769,303

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Solution

The third proportional to 370,114 and 769,303 is: 1,599,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,114 : 769,303 = 769,303 : x
  2. Step 2: Convert to fraction form
    370,114/769,303 = 769,303/x
  3. Step 3: Cross multiply
    370,114x = 769,303 × 769,303
  4. Step 4: Simplify right side
    370,114x = 591,827,105,809
  5. Step 5: Solve for x
    x = 591,827,105,809/370,114
  6. Step 6: Final answer
    x = 1,599,040.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.