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Finding the Third Proportional to 402,303 and 863,020.50

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Solution

The third proportional to 402,303 and 863,020.50 is: 1,851,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,303 : 863,020.50 = 863,020.50 : x
  2. Step 2: Convert to fraction form
    402,303/863,020.50 = 863,020.50/x
  3. Step 3: Cross multiply
    402,303x = 863,020.50 × 863,020.50
  4. Step 4: Simplify right side
    402,303x = 744,804,383,420.25
  5. Step 5: Solve for x
    x = 744,804,383,420.25/402,303
  6. Step 6: Final answer
    x = 1,851,351.80

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