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Finding the Third Proportional to 211,973.63 and 460,760.06

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Solution

The third proportional to 211,973.63 and 460,760.06 is: 1,001,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,973.63 : 460,760.06 = 460,760.06 : x
  2. Step 2: Convert to fraction form
    211,973.63/460,760.06 = 460,760.06/x
  3. Step 3: Cross multiply
    211,973.63x = 460,760.06 × 460,760.06
  4. Step 4: Simplify right side
    211,973.63x = 212,299,835,195.00
  5. Step 5: Solve for x
    x = 212,299,835,195.00/211,973.63
  6. Step 6: Final answer
    x = 1,001,538.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.