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Finding the Third Proportional to 321,226,298.44 and 433,409,697

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Solution

The third proportional to 321,226,298.44 and 433,409,697 is: 584,771,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226,298.44 : 433,409,697 = 433,409,697 : x
  2. Step 2: Convert to fraction form
    321,226,298.44/433,409,697 = 433,409,697/x
  3. Step 3: Cross multiply
    321,226,298.44x = 433,409,697 × 433,409,697
  4. Step 4: Simplify right side
    321,226,298.44x = 187,843,965,453,631,808
  5. Step 5: Solve for x
    x = 187,843,965,453,631,808/321,226,298.44
  6. Step 6: Final answer
    x = 584,771,441.09

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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.