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Finding the Third Proportional to 519,159 and 759,028.50

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Solution

The third proportional to 519,159 and 759,028.50 is: 1,109,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,159 : 759,028.50 = 759,028.50 : x
  2. Step 2: Convert to fraction form
    519,159/759,028.50 = 759,028.50/x
  3. Step 3: Cross multiply
    519,159x = 759,028.50 × 759,028.50
  4. Step 4: Simplify right side
    519,159x = 576,124,263,812.25
  5. Step 5: Solve for x
    x = 576,124,263,812.25/519,159
  6. Step 6: Final answer
    x = 1,109,726.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.