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Finding the Third Proportional to 760,164.75 and 1,023,891.75

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Solution

The third proportional to 760,164.75 and 1,023,891.75 is: 1,379,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,164.75 : 1,023,891.75 = 1,023,891.75 : x
  2. Step 2: Convert to fraction form
    760,164.75/1,023,891.75 = 1,023,891.75/x
  3. Step 3: Cross multiply
    760,164.75x = 1,023,891.75 × 1,023,891.75
  4. Step 4: Simplify right side
    760,164.75x = 1,048,354,315,718.06
  5. Step 5: Solve for x
    x = 1,048,354,315,718.06/760,164.75
  6. Step 6: Final answer
    x = 1,379,114.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.