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Finding the Third Proportional to 525,880 and 751,944

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Solution

The third proportional to 525,880 and 751,944 is: 1,075,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,880 : 751,944 = 751,944 : x
  2. Step 2: Convert to fraction form
    525,880/751,944 = 751,944/x
  3. Step 3: Cross multiply
    525,880x = 751,944 × 751,944
  4. Step 4: Simplify right side
    525,880x = 565,419,779,136
  5. Step 5: Solve for x
    x = 565,419,779,136/525,880
  6. Step 6: Final answer
    x = 1,075,187.84

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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.