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Finding the Third Proportional to 212,081.63 and 457,366.50

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Solution

The third proportional to 212,081.63 and 457,366.50 is: 986,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,081.63 : 457,366.50 = 457,366.50 : x
  2. Step 2: Convert to fraction form
    212,081.63/457,366.50 = 457,366.50/x
  3. Step 3: Cross multiply
    212,081.63x = 457,366.50 × 457,366.50
  4. Step 4: Simplify right side
    212,081.63x = 209,184,115,322.25
  5. Step 5: Solve for x
    x = 209,184,115,322.25/212,081.63
  6. Step 6: Final answer
    x = 986,337.76

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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.