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Finding the Third Proportional to 525,211 and 811,108

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Solution

The third proportional to 525,211 and 811,108 is: 1,252,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,211 : 811,108 = 811,108 : x
  2. Step 2: Convert to fraction form
    525,211/811,108 = 811,108/x
  3. Step 3: Cross multiply
    525,211x = 811,108 × 811,108
  4. Step 4: Simplify right side
    525,211x = 657,896,187,664
  5. Step 5: Solve for x
    x = 657,896,187,664/525,211
  6. Step 6: Final answer
    x = 1,252,632.16

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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.