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Finding the Third Proportional to 393,195 and 859,985

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Solution

The third proportional to 393,195 and 859,985 is: 1,880,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,195 : 859,985 = 859,985 : x
  2. Step 2: Convert to fraction form
    393,195/859,985 = 859,985/x
  3. Step 3: Cross multiply
    393,195x = 859,985 × 859,985
  4. Step 4: Simplify right side
    393,195x = 739,574,200,225
  5. Step 5: Solve for x
    x = 739,574,200,225/393,195
  6. Step 6: Final answer
    x = 1,880,934.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.