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Finding the Third Proportional to 525,980 and 744,256

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Solution

The third proportional to 525,980 and 744,256 is: 1,053,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,980 : 744,256 = 744,256 : x
  2. Step 2: Convert to fraction form
    525,980/744,256 = 744,256/x
  3. Step 3: Cross multiply
    525,980x = 744,256 × 744,256
  4. Step 4: Simplify right side
    525,980x = 553,916,993,536
  5. Step 5: Solve for x
    x = 553,916,993,536/525,980
  6. Step 6: Final answer
    x = 1,053,114.17

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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.