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Finding the Third Proportional to 212,581.10 and 462,527.01

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Solution

The third proportional to 212,581.10 and 462,527.01 is: 1,006,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,581.10 : 462,527.01 = 462,527.01 : x
  2. Step 2: Convert to fraction form
    212,581.10/462,527.01 = 462,527.01/x
  3. Step 3: Cross multiply
    212,581.10x = 462,527.01 × 462,527.01
  4. Step 4: Simplify right side
    212,581.10x = 213,931,232,052.63
  5. Step 5: Solve for x
    x = 213,931,232,052.63/212,581.10
  6. Step 6: Final answer
    x = 1,006,351.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.