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Finding the Third Proportional to 498,970.50 and 1,202,982

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Solution

The third proportional to 498,970.50 and 1,202,982 is: 2,900,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,970.50 : 1,202,982 = 1,202,982 : x
  2. Step 2: Convert to fraction form
    498,970.50/1,202,982 = 1,202,982/x
  3. Step 3: Cross multiply
    498,970.50x = 1,202,982 × 1,202,982
  4. Step 4: Simplify right side
    498,970.50x = 1,447,165,692,324
  5. Step 5: Solve for x
    x = 1,447,165,692,324/498,970.50
  6. Step 6: Final answer
    x = 2,900,303.11

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.