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Finding the Third Proportional to 525,978 and 744,255

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Solution

The third proportional to 525,978 and 744,255 is: 1,053,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,978 : 744,255 = 744,255 : x
  2. Step 2: Convert to fraction form
    525,978/744,255 = 744,255/x
  3. Step 3: Cross multiply
    525,978x = 744,255 × 744,255
  4. Step 4: Simplify right side
    525,978x = 553,915,505,025
  5. Step 5: Solve for x
    x = 553,915,505,025/525,978
  6. Step 6: Final answer
    x = 1,053,115.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.