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Finding the Third Proportional to 212,496 and 457,784

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Solution

The third proportional to 212,496 and 457,784 is: 986,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,496 : 457,784 = 457,784 : x
  2. Step 2: Convert to fraction form
    212,496/457,784 = 457,784/x
  3. Step 3: Cross multiply
    212,496x = 457,784 × 457,784
  4. Step 4: Simplify right side
    212,496x = 209,566,190,656
  5. Step 5: Solve for x
    x = 209,566,190,656/212,496
  6. Step 6: Final answer
    x = 986,212.40

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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.