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Finding the Third Proportional to 525,213 and 811,110

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Solution

The third proportional to 525,213 and 811,110 is: 1,252,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,213 : 811,110 = 811,110 : x
  2. Step 2: Convert to fraction form
    525,213/811,110 = 811,110/x
  3. Step 3: Cross multiply
    525,213x = 811,110 × 811,110
  4. Step 4: Simplify right side
    525,213x = 657,899,432,100
  5. Step 5: Solve for x
    x = 657,899,432,100/525,213
  6. Step 6: Final answer
    x = 1,252,633.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.