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Finding the Third Proportional to 303,332,806.50 and 653,523,841.50

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Solution

The third proportional to 303,332,806.50 and 653,523,841.50 is: 1,408,002,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,332,806.50 : 653,523,841.50 = 653,523,841.50 : x
  2. Step 2: Convert to fraction form
    303,332,806.50/653,523,841.50 = 653,523,841.50/x
  3. Step 3: Cross multiply
    303,332,806.50x = 653,523,841.50 × 653,523,841.50
  4. Step 4: Simplify right side
    303,332,806.50x = 427,093,411,408,917,120
  5. Step 5: Solve for x
    x = 427,093,411,408,917,120/303,332,806.50
  6. Step 6: Final answer
    x = 1,408,002,702.83

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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.