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Finding the Third Proportional to 516,123 and 759,004.50

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Solution

The third proportional to 516,123 and 759,004.50 is: 1,116,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,123 : 759,004.50 = 759,004.50 : x
  2. Step 2: Convert to fraction form
    516,123/759,004.50 = 759,004.50/x
  3. Step 3: Cross multiply
    516,123x = 759,004.50 × 759,004.50
  4. Step 4: Simplify right side
    516,123x = 576,087,831,020.25
  5. Step 5: Solve for x
    x = 576,087,831,020.25/516,123
  6. Step 6: Final answer
    x = 1,116,183.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.