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Finding the Third Proportional to 210,823.50 and 463,119

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Solution

The third proportional to 210,823.50 and 463,119 is: 1,017,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,823.50 : 463,119 = 463,119 : x
  2. Step 2: Convert to fraction form
    210,823.50/463,119 = 463,119/x
  3. Step 3: Cross multiply
    210,823.50x = 463,119 × 463,119
  4. Step 4: Simplify right side
    210,823.50x = 214,479,208,161
  5. Step 5: Solve for x
    x = 214,479,208,161/210,823.50
  6. Step 6: Final answer
    x = 1,017,340.14

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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.