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Finding the Third Proportional to 525,976 and 744,251

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Solution

The third proportional to 525,976 and 744,251 is: 1,053,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,976 : 744,251 = 744,251 : x
  2. Step 2: Convert to fraction form
    525,976/744,251 = 744,251/x
  3. Step 3: Cross multiply
    525,976x = 744,251 × 744,251
  4. Step 4: Simplify right side
    525,976x = 553,909,551,001
  5. Step 5: Solve for x
    x = 553,909,551,001/525,976
  6. Step 6: Final answer
    x = 1,053,108.03

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Why These Related Problems?

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