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Finding the Third Proportional to 213,432 and 459,968

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Solution

The third proportional to 213,432 and 459,968 is: 991,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,432 : 459,968 = 459,968 : x
  2. Step 2: Convert to fraction form
    213,432/459,968 = 459,968/x
  3. Step 3: Cross multiply
    213,432x = 459,968 × 459,968
  4. Step 4: Simplify right side
    213,432x = 211,570,561,024
  5. Step 5: Solve for x
    x = 211,570,561,024/213,432
  6. Step 6: Final answer
    x = 991,278.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.