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Finding the Third Proportional to 468,300.75 and 1,105,114.50

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Solution

The third proportional to 468,300.75 and 1,105,114.50 is: 2,607,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,300.75 : 1,105,114.50 = 1,105,114.50 : x
  2. Step 2: Convert to fraction form
    468,300.75/1,105,114.50 = 1,105,114.50/x
  3. Step 3: Cross multiply
    468,300.75x = 1,105,114.50 × 1,105,114.50
  4. Step 4: Simplify right side
    468,300.75x = 1,221,278,058,110.25
  5. Step 5: Solve for x
    x = 1,221,278,058,110.25/468,300.75
  6. Step 6: Final answer
    x = 2,607,892.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.