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Finding the Third Proportional to 525,896 and 751,968

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Solution

The third proportional to 525,896 and 751,968 is: 1,075,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,896 : 751,968 = 751,968 : x
  2. Step 2: Convert to fraction form
    525,896/751,968 = 751,968/x
  3. Step 3: Cross multiply
    525,896x = 751,968 × 751,968
  4. Step 4: Simplify right side
    525,896x = 565,455,873,024
  5. Step 5: Solve for x
    x = 565,455,873,024/525,896
  6. Step 6: Final answer
    x = 1,075,223.76

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Why These Related Problems?

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