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Finding the Third Proportional to 525,062 and 808,041

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Solution

The third proportional to 525,062 and 808,041 is: 1,243,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,062 : 808,041 = 808,041 : x
  2. Step 2: Convert to fraction form
    525,062/808,041 = 808,041/x
  3. Step 3: Cross multiply
    525,062x = 808,041 × 808,041
  4. Step 4: Simplify right side
    525,062x = 652,930,257,681
  5. Step 5: Solve for x
    x = 652,930,257,681/525,062
  6. Step 6: Final answer
    x = 1,243,529.83

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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.