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Finding the Third Proportional to 401,082 and 856,300

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Solution

The third proportional to 401,082 and 856,300 is: 1,828,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,082 : 856,300 = 856,300 : x
  2. Step 2: Convert to fraction form
    401,082/856,300 = 856,300/x
  3. Step 3: Cross multiply
    401,082x = 856,300 × 856,300
  4. Step 4: Simplify right side
    401,082x = 733,249,690,000
  5. Step 5: Solve for x
    x = 733,249,690,000/401,082
  6. Step 6: Final answer
    x = 1,828,179.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.