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Finding the Third Proportional to 370,070 and 769,228.50

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Solution

The third proportional to 370,070 and 769,228.50 is: 1,598,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,070 : 769,228.50 = 769,228.50 : x
  2. Step 2: Convert to fraction form
    370,070/769,228.50 = 769,228.50/x
  3. Step 3: Cross multiply
    370,070x = 769,228.50 × 769,228.50
  4. Step 4: Simplify right side
    370,070x = 591,712,485,212.25
  5. Step 5: Solve for x
    x = 591,712,485,212.25/370,070
  6. Step 6: Final answer
    x = 1,598,920.43

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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.