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Finding the Third Proportional to 420,219,935.50 and 628,013,841.75

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Solution

The third proportional to 420,219,935.50 and 628,013,841.75 is: 938,559,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,219,935.50 : 628,013,841.75 = 628,013,841.75 : x
  2. Step 2: Convert to fraction form
    420,219,935.50/628,013,841.75 = 628,013,841.75/x
  3. Step 3: Cross multiply
    420,219,935.50x = 628,013,841.75 × 628,013,841.75
  4. Step 4: Simplify right side
    420,219,935.50x = 394,401,385,429,594,048
  5. Step 5: Solve for x
    x = 394,401,385,429,594,048/420,219,935.50
  6. Step 6: Final answer
    x = 938,559,435.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.