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Finding the Third Proportional to 216,322.21 and 473,371.59

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Solution

The third proportional to 216,322.21 and 473,371.59 is: 1,035,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,322.21 : 473,371.59 = 473,371.59 : x
  2. Step 2: Convert to fraction form
    216,322.21/473,371.59 = 473,371.59/x
  3. Step 3: Cross multiply
    216,322.21x = 473,371.59 × 473,371.59
  4. Step 4: Simplify right side
    216,322.21x = 224,080,665,769.42
  5. Step 5: Solve for x
    x = 224,080,665,769.42/216,322.21
  6. Step 6: Final answer
    x = 1,035,865.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.