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Finding the Third Proportional to 213,248 and 493,673

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Solution

The third proportional to 213,248 and 493,673 is: 1,142,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,248 : 493,673 = 493,673 : x
  2. Step 2: Convert to fraction form
    213,248/493,673 = 493,673/x
  3. Step 3: Cross multiply
    213,248x = 493,673 × 493,673
  4. Step 4: Simplify right side
    213,248x = 243,713,030,929
  5. Step 5: Solve for x
    x = 243,713,030,929/213,248
  6. Step 6: Final answer
    x = 1,142,861.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.