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Finding the Third Proportional to 525,023 and 814,482

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Solution

The third proportional to 525,023 and 814,482 is: 1,263,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,023 : 814,482 = 814,482 : x
  2. Step 2: Convert to fraction form
    525,023/814,482 = 814,482/x
  3. Step 3: Cross multiply
    525,023x = 814,482 × 814,482
  4. Step 4: Simplify right side
    525,023x = 663,380,928,324
  5. Step 5: Solve for x
    x = 663,380,928,324/525,023
  6. Step 6: Final answer
    x = 1,263,527.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.