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Finding the Third Proportional to 492,084 and 803,522

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Solution

The third proportional to 492,084 and 803,522 is: 1,312,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,084 : 803,522 = 803,522 : x
  2. Step 2: Convert to fraction form
    492,084/803,522 = 803,522/x
  3. Step 3: Cross multiply
    492,084x = 803,522 × 803,522
  4. Step 4: Simplify right side
    492,084x = 645,647,604,484
  5. Step 5: Solve for x
    x = 645,647,604,484/492,084
  6. Step 6: Final answer
    x = 1,312,067.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.