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Finding the Third Proportional to 360,585 and 769,425

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Solution

The third proportional to 360,585 and 769,425 is: 1,641,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,585 : 769,425 = 769,425 : x
  2. Step 2: Convert to fraction form
    360,585/769,425 = 769,425/x
  3. Step 3: Cross multiply
    360,585x = 769,425 × 769,425
  4. Step 4: Simplify right side
    360,585x = 592,014,830,625
  5. Step 5: Solve for x
    x = 592,014,830,625/360,585
  6. Step 6: Final answer
    x = 1,641,817.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.