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Finding the Third Proportional to 321,226,305 and 433,409,704.50

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Solution

The third proportional to 321,226,305 and 433,409,704.50 is: 584,771,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226,305 : 433,409,704.50 = 433,409,704.50 : x
  2. Step 2: Convert to fraction form
    321,226,305/433,409,704.50 = 433,409,704.50/x
  3. Step 3: Cross multiply
    321,226,305x = 433,409,704.50 × 433,409,704.50
  4. Step 4: Simplify right side
    321,226,305x = 187,843,971,954,777,312
  5. Step 5: Solve for x
    x = 187,843,971,954,777,312/321,226,305
  6. Step 6: Final answer
    x = 584,771,449.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.