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Finding the Third Proportional to 383,435 and 830,348.50

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Solution

The third proportional to 383,435 and 830,348.50 is: 1,798,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,435 : 830,348.50 = 830,348.50 : x
  2. Step 2: Convert to fraction form
    383,435/830,348.50 = 830,348.50/x
  3. Step 3: Cross multiply
    383,435x = 830,348.50 × 830,348.50
  4. Step 4: Simplify right side
    383,435x = 689,478,631,452.25
  5. Step 5: Solve for x
    x = 689,478,631,452.25/383,435
  6. Step 6: Final answer
    x = 1,798,163.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.