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Finding the Third Proportional to 631,888.50 and 819,743.25

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Solution

The third proportional to 631,888.50 and 819,743.25 is: 1,063,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,888.50 : 819,743.25 = 819,743.25 : x
  2. Step 2: Convert to fraction form
    631,888.50/819,743.25 = 819,743.25/x
  3. Step 3: Cross multiply
    631,888.50x = 819,743.25 × 819,743.25
  4. Step 4: Simplify right side
    631,888.50x = 671,978,995,920.56
  5. Step 5: Solve for x
    x = 671,978,995,920.56/631,888.50
  6. Step 6: Final answer
    x = 1,063,445.52

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.