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Finding the Third Proportional to 212,306 and 465,436

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Solution

The third proportional to 212,306 and 465,436 is: 1,020,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,306 : 465,436 = 465,436 : x
  2. Step 2: Convert to fraction form
    212,306/465,436 = 465,436/x
  3. Step 3: Cross multiply
    212,306x = 465,436 × 465,436
  4. Step 4: Simplify right side
    212,306x = 216,630,670,096
  5. Step 5: Solve for x
    x = 216,630,670,096/212,306
  6. Step 6: Final answer
    x = 1,020,369.99

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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.