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Finding the Third Proportional to 525,215 and 787,624

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Solution

The third proportional to 525,215 and 787,624 is: 1,181,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,215 : 787,624 = 787,624 : x
  2. Step 2: Convert to fraction form
    525,215/787,624 = 787,624/x
  3. Step 3: Cross multiply
    525,215x = 787,624 × 787,624
  4. Step 4: Simplify right side
    525,215x = 620,351,565,376
  5. Step 5: Solve for x
    x = 620,351,565,376/525,215
  6. Step 6: Final answer
    x = 1,181,138.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.