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Finding the Third Proportional to 213,427.41 and 457,113.94

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Solution

The third proportional to 213,427.41 and 457,113.94 is: 979,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,427.41 : 457,113.94 = 457,113.94 : x
  2. Step 2: Convert to fraction form
    213,427.41/457,113.94 = 457,113.94/x
  3. Step 3: Cross multiply
    213,427.41x = 457,113.94 × 457,113.94
  4. Step 4: Simplify right side
    213,427.41x = 208,953,151,856.75
  5. Step 5: Solve for x
    x = 208,953,151,856.75/213,427.41
  6. Step 6: Final answer
    x = 979,036.18

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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.