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Finding the Third Proportional to 370,762 and 809,482

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Solution

The third proportional to 370,762 and 809,482 is: 1,767,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,762 : 809,482 = 809,482 : x
  2. Step 2: Convert to fraction form
    370,762/809,482 = 809,482/x
  3. Step 3: Cross multiply
    370,762x = 809,482 × 809,482
  4. Step 4: Simplify right side
    370,762x = 655,261,108,324
  5. Step 5: Solve for x
    x = 655,261,108,324/370,762
  6. Step 6: Final answer
    x = 1,767,336.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.