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Finding the Third Proportional to 699,531.75 and 1,026,334.13

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Solution

The third proportional to 699,531.75 and 1,026,334.13 is: 1,505,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,531.75 : 1,026,334.13 = 1,026,334.13 : x
  2. Step 2: Convert to fraction form
    699,531.75/1,026,334.13 = 1,026,334.13/x
  3. Step 3: Cross multiply
    699,531.75x = 1,026,334.13 × 1,026,334.13
  4. Step 4: Simplify right side
    699,531.75x = 1,053,361,736,139.52
  5. Step 5: Solve for x
    x = 1,053,361,736,139.52/699,531.75
  6. Step 6: Final answer
    x = 1,505,809.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.