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Finding the Third Proportional to 212,706 and 464,050

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Solution

The third proportional to 212,706 and 464,050 is: 1,012,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,706 : 464,050 = 464,050 : x
  2. Step 2: Convert to fraction form
    212,706/464,050 = 464,050/x
  3. Step 3: Cross multiply
    212,706x = 464,050 × 464,050
  4. Step 4: Simplify right side
    212,706x = 215,342,402,500
  5. Step 5: Solve for x
    x = 215,342,402,500/212,706
  6. Step 6: Final answer
    x = 1,012,394.58

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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.