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Finding the Third Proportional to 212,084 and 456,670

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Solution

The third proportional to 212,084 and 456,670 is: 983,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,084 : 456,670 = 456,670 : x
  2. Step 2: Convert to fraction form
    212,084/456,670 = 456,670/x
  3. Step 3: Cross multiply
    212,084x = 456,670 × 456,670
  4. Step 4: Simplify right side
    212,084x = 208,547,488,900
  5. Step 5: Solve for x
    x = 208,547,488,900/212,084
  6. Step 6: Final answer
    x = 983,324.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.