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Finding the Third Proportional to 211,752 and 464,958

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Solution

The third proportional to 211,752 and 464,958 is: 1,020,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,752 : 464,958 = 464,958 : x
  2. Step 2: Convert to fraction form
    211,752/464,958 = 464,958/x
  3. Step 3: Cross multiply
    211,752x = 464,958 × 464,958
  4. Step 4: Simplify right side
    211,752x = 216,185,941,764
  5. Step 5: Solve for x
    x = 216,185,941,764/211,752
  6. Step 6: Final answer
    x = 1,020,939.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.