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Finding the Third Proportional to 328,971,045 and 722,504,292

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Solution

The third proportional to 328,971,045 and 722,504,292 is: 1,586,803,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971,045 : 722,504,292 = 722,504,292 : x
  2. Step 2: Convert to fraction form
    328,971,045/722,504,292 = 722,504,292/x
  3. Step 3: Cross multiply
    328,971,045x = 722,504,292 × 722,504,292
  4. Step 4: Simplify right side
    328,971,045x = 522,012,451,958,421,248
  5. Step 5: Solve for x
    x = 522,012,451,958,421,248/328,971,045
  6. Step 6: Final answer
    x = 1,586,803,640.91

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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.