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Finding the Third Proportional to 211,821.75 and 466,290

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Solution

The third proportional to 211,821.75 and 466,290 is: 1,026,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,821.75 : 466,290 = 466,290 : x
  2. Step 2: Convert to fraction form
    211,821.75/466,290 = 466,290/x
  3. Step 3: Cross multiply
    211,821.75x = 466,290 × 466,290
  4. Step 4: Simplify right side
    211,821.75x = 217,426,364,100
  5. Step 5: Solve for x
    x = 217,426,364,100/211,821.75
  6. Step 6: Final answer
    x = 1,026,459.11

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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.