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Finding the Third Proportional to 525,228 and 814,820

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Solution

The third proportional to 525,228 and 814,820 is: 1,264,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,228 : 814,820 = 814,820 : x
  2. Step 2: Convert to fraction form
    525,228/814,820 = 814,820/x
  3. Step 3: Cross multiply
    525,228x = 814,820 × 814,820
  4. Step 4: Simplify right side
    525,228x = 663,931,632,400
  5. Step 5: Solve for x
    x = 663,931,632,400/525,228
  6. Step 6: Final answer
    x = 1,264,082.71

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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.