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Finding the Third Proportional to 191,484 and 409,032

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Solution

The third proportional to 191,484 and 409,032 is: 873,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,484 : 409,032 = 409,032 : x
  2. Step 2: Convert to fraction form
    191,484/409,032 = 409,032/x
  3. Step 3: Cross multiply
    191,484x = 409,032 × 409,032
  4. Step 4: Simplify right side
    191,484x = 167,307,177,024
  5. Step 5: Solve for x
    x = 167,307,177,024/191,484
  6. Step 6: Final answer
    x = 873,739.72

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Why These Related Problems?

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