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Finding the Third Proportional to 482,862 and 764,419.50

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Solution

The third proportional to 482,862 and 764,419.50 is: 1,210,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,862 : 764,419.50 = 764,419.50 : x
  2. Step 2: Convert to fraction form
    482,862/764,419.50 = 764,419.50/x
  3. Step 3: Cross multiply
    482,862x = 764,419.50 × 764,419.50
  4. Step 4: Simplify right side
    482,862x = 584,337,171,980.25
  5. Step 5: Solve for x
    x = 584,337,171,980.25/482,862
  6. Step 6: Final answer
    x = 1,210,153.57

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.