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Finding the Third Proportional to 525,539.63 and 811,599.19

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Solution

The third proportional to 525,539.63 and 811,599.19 is: 1,253,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,539.63 : 811,599.19 = 811,599.19 : x
  2. Step 2: Convert to fraction form
    525,539.63/811,599.19 = 811,599.19/x
  3. Step 3: Cross multiply
    525,539.63x = 811,599.19 × 811,599.19
  4. Step 4: Simplify right side
    525,539.63x = 658,693,241,150.66
  5. Step 5: Solve for x
    x = 658,693,241,150.66/525,539.63
  6. Step 6: Final answer
    x = 1,253,365.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.