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Finding the Third Proportional to 199,484 and 436,504

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Solution

The third proportional to 199,484 and 436,504 is: 955,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,484 : 436,504 = 436,504 : x
  2. Step 2: Convert to fraction form
    199,484/436,504 = 436,504/x
  3. Step 3: Cross multiply
    199,484x = 436,504 × 436,504
  4. Step 4: Simplify right side
    199,484x = 190,535,742,016
  5. Step 5: Solve for x
    x = 190,535,742,016/199,484
  6. Step 6: Final answer
    x = 955,142.98

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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.