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Finding the Third Proportional to 212,047.88 and 454,804.88

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Solution

The third proportional to 212,047.88 and 454,804.88 is: 975,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,047.88 : 454,804.88 = 454,804.88 : x
  2. Step 2: Convert to fraction form
    212,047.88/454,804.88 = 454,804.88/x
  3. Step 3: Cross multiply
    212,047.88x = 454,804.88 × 454,804.88
  4. Step 4: Simplify right side
    212,047.88x = 206,847,474,323.77
  5. Step 5: Solve for x
    x = 206,847,474,323.77/212,047.88
  6. Step 6: Final answer
    x = 975,475.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.