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Finding the Third Proportional to 329,408,285.50 and 439,159,433

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Solution

The third proportional to 329,408,285.50 and 439,159,433 is: 585,477,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408,285.50 : 439,159,433 = 439,159,433 : x
  2. Step 2: Convert to fraction form
    329,408,285.50/439,159,433 = 439,159,433/x
  3. Step 3: Cross multiply
    329,408,285.50x = 439,159,433 × 439,159,433
  4. Step 4: Simplify right side
    329,408,285.50x = 192,861,007,592,881,504
  5. Step 5: Solve for x
    x = 192,861,007,592,881,504/329,408,285.50
  6. Step 6: Final answer
    x = 585,477,099.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.