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Finding the Third Proportional to 212,086 and 456,674

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Solution

The third proportional to 212,086 and 456,674 is: 983,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,086 : 456,674 = 456,674 : x
  2. Step 2: Convert to fraction form
    212,086/456,674 = 456,674/x
  3. Step 3: Cross multiply
    212,086x = 456,674 × 456,674
  4. Step 4: Simplify right side
    212,086x = 208,551,142,276
  5. Step 5: Solve for x
    x = 208,551,142,276/212,086
  6. Step 6: Final answer
    x = 983,332.90

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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.