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Finding the Third Proportional to 321,226,338.94 and 433,409,749.59

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Solution

The third proportional to 321,226,338.94 and 433,409,749.59 is: 584,771,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226,338.94 : 433,409,749.59 = 433,409,749.59 : x
  2. Step 2: Convert to fraction form
    321,226,338.94/433,409,749.59 = 433,409,749.59/x
  3. Step 3: Cross multiply
    321,226,338.94x = 433,409,749.59 × 433,409,749.59
  4. Step 4: Simplify right side
    321,226,338.94x = 187,844,011,042,917,088
  5. Step 5: Solve for x
    x = 187,844,011,042,917,088/321,226,338.94
  6. Step 6: Final answer
    x = 584,771,509.29

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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.