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Finding the Third Proportional to 328,971,168 and 722,504,511

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Solution

The third proportional to 328,971,168 and 722,504,511 is: 1,586,804,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971,168 : 722,504,511 = 722,504,511 : x
  2. Step 2: Convert to fraction form
    328,971,168/722,504,511 = 722,504,511/x
  3. Step 3: Cross multiply
    328,971,168x = 722,504,511 × 722,504,511
  4. Step 4: Simplify right side
    328,971,168x = 522,012,768,415,349,120
  5. Step 5: Solve for x
    x = 522,012,768,415,349,120/328,971,168
  6. Step 6: Final answer
    x = 1,586,804,009.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.