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Finding the Third Proportional to 525,881 and 752,016

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Solution

The third proportional to 525,881 and 752,016 is: 1,075,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,881 : 752,016 = 752,016 : x
  2. Step 2: Convert to fraction form
    525,881/752,016 = 752,016/x
  3. Step 3: Cross multiply
    525,881x = 752,016 × 752,016
  4. Step 4: Simplify right side
    525,881x = 565,528,064,256
  5. Step 5: Solve for x
    x = 565,528,064,256/525,881
  6. Step 6: Final answer
    x = 1,075,391.70

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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.