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Finding the Third Proportional to 525,474 and 748,838.25

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Solution

The third proportional to 525,474 and 748,838.25 is: 1,067,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,474 : 748,838.25 = 748,838.25 : x
  2. Step 2: Convert to fraction form
    525,474/748,838.25 = 748,838.25/x
  3. Step 3: Cross multiply
    525,474x = 748,838.25 × 748,838.25
  4. Step 4: Simplify right side
    525,474x = 560,758,724,663.06
  5. Step 5: Solve for x
    x = 560,758,724,663.06/525,474
  6. Step 6: Final answer
    x = 1,067,148.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.