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Finding the Third Proportional to 194,587 and 427,484

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Solution

The third proportional to 194,587 and 427,484 is: 939,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,587 : 427,484 = 427,484 : x
  2. Step 2: Convert to fraction form
    194,587/427,484 = 427,484/x
  3. Step 3: Cross multiply
    194,587x = 427,484 × 427,484
  4. Step 4: Simplify right side
    194,587x = 182,742,570,256
  5. Step 5: Solve for x
    x = 182,742,570,256/194,587
  6. Step 6: Final answer
    x = 939,130.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.