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Finding the Third Proportional to 198,484.50 and 429,775.50

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Solution

The third proportional to 198,484.50 and 429,775.50 is: 930,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,484.50 : 429,775.50 = 429,775.50 : x
  2. Step 2: Convert to fraction form
    198,484.50/429,775.50 = 429,775.50/x
  3. Step 3: Cross multiply
    198,484.50x = 429,775.50 × 429,775.50
  4. Step 4: Simplify right side
    198,484.50x = 184,706,980,400.25
  5. Step 5: Solve for x
    x = 184,706,980,400.25/198,484.50
  6. Step 6: Final answer
    x = 930,586.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.