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Finding the Third Proportional to 760,279.50 and 1,062,917.44

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Solution

The third proportional to 760,279.50 and 1,062,917.44 is: 1,486,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,279.50 : 1,062,917.44 = 1,062,917.44 : x
  2. Step 2: Convert to fraction form
    760,279.50/1,062,917.44 = 1,062,917.44/x
  3. Step 3: Cross multiply
    760,279.50x = 1,062,917.44 × 1,062,917.44
  4. Step 4: Simplify right side
    760,279.50x = 1,129,793,478,941.57
  5. Step 5: Solve for x
    x = 1,129,793,478,941.57/760,279.50
  6. Step 6: Final answer
    x = 1,486,023.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.