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Finding the Third Proportional to 213,575 and 469,783.50

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Solution

The third proportional to 213,575 and 469,783.50 is: 1,033,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,575 : 469,783.50 = 469,783.50 : x
  2. Step 2: Convert to fraction form
    213,575/469,783.50 = 469,783.50/x
  3. Step 3: Cross multiply
    213,575x = 469,783.50 × 469,783.50
  4. Step 4: Simplify right side
    213,575x = 220,696,536,872.25
  5. Step 5: Solve for x
    x = 220,696,536,872.25/213,575
  6. Step 6: Final answer
    x = 1,033,344.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.