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Finding the Third Proportional to 213,281 and 493,754

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Solution

The third proportional to 213,281 and 493,754 is: 1,143,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,281 : 493,754 = 493,754 : x
  2. Step 2: Convert to fraction form
    213,281/493,754 = 493,754/x
  3. Step 3: Cross multiply
    213,281x = 493,754 × 493,754
  4. Step 4: Simplify right side
    213,281x = 243,793,012,516
  5. Step 5: Solve for x
    x = 243,793,012,516/213,281
  6. Step 6: Final answer
    x = 1,143,060.15

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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.