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Finding the Third Proportional to 768,165 and 1,162,855.50

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Solution

The third proportional to 768,165 and 1,162,855.50 is: 1,760,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,165 : 1,162,855.50 = 1,162,855.50 : x
  2. Step 2: Convert to fraction form
    768,165/1,162,855.50 = 1,162,855.50/x
  3. Step 3: Cross multiply
    768,165x = 1,162,855.50 × 1,162,855.50
  4. Step 4: Simplify right side
    768,165x = 1,352,232,913,880.25
  5. Step 5: Solve for x
    x = 1,352,232,913,880.25/768,165
  6. Step 6: Final answer
    x = 1,760,341.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.