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Finding the Third Proportional to 329,408,280 and 439,159,425

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Solution

The third proportional to 329,408,280 and 439,159,425 is: 585,477,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408,280 : 439,159,425 = 439,159,425 : x
  2. Step 2: Convert to fraction form
    329,408,280/439,159,425 = 439,159,425/x
  3. Step 3: Cross multiply
    329,408,280x = 439,159,425 × 439,159,425
  4. Step 4: Simplify right side
    329,408,280x = 192,861,000,566,330,624
  5. Step 5: Solve for x
    x = 192,861,000,566,330,624/329,408,280
  6. Step 6: Final answer
    x = 585,477,088.09

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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.