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Finding the Third Proportional to 303,332,988 and 653,524,281

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Solution

The third proportional to 303,332,988 and 653,524,281 is: 1,408,003,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,332,988 : 653,524,281 = 653,524,281 : x
  2. Step 2: Convert to fraction form
    303,332,988/653,524,281 = 653,524,281/x
  3. Step 3: Cross multiply
    303,332,988x = 653,524,281 × 653,524,281
  4. Step 4: Simplify right side
    303,332,988x = 427,093,985,856,566,976
  5. Step 5: Solve for x
    x = 427,093,985,856,566,976/303,332,988
  6. Step 6: Final answer
    x = 1,408,003,754.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.