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Finding the Third Proportional to 213 and 574.50

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Solution

The third proportional to 213 and 574.50 is: 1,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 574.50 = 574.50 : x
  2. Step 2: Convert to fraction form
    213/574.50 = 574.50/x
  3. Step 3: Cross multiply
    213x = 574.50 × 574.50
  4. Step 4: Simplify right side
    213x = 330,050.25
  5. Step 5: Solve for x
    x = 330,050.25/213
  6. Step 6: Final answer
    x = 1,549.53

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.