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Finding the Third Proportional to 211,538.81 and 452,602.13

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Solution

The third proportional to 211,538.81 and 452,602.13 is: 968,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,538.81 : 452,602.13 = 452,602.13 : x
  2. Step 2: Convert to fraction form
    211,538.81/452,602.13 = 452,602.13/x
  3. Step 3: Cross multiply
    211,538.81x = 452,602.13 × 452,602.13
  4. Step 4: Simplify right side
    211,538.81x = 204,848,683,554.52
  5. Step 5: Solve for x
    x = 204,848,683,554.52/211,538.81
  6. Step 6: Final answer
    x = 968,373.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.