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Finding the Third Proportional to 423,099.75 and 881,193.75

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Solution

The third proportional to 423,099.75 and 881,193.75 is: 1,835,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,099.75 : 881,193.75 = 881,193.75 : x
  2. Step 2: Convert to fraction form
    423,099.75/881,193.75 = 881,193.75/x
  3. Step 3: Cross multiply
    423,099.75x = 881,193.75 × 881,193.75
  4. Step 4: Simplify right side
    423,099.75x = 776,502,425,039.06
  5. Step 5: Solve for x
    x = 776,502,425,039.06/423,099.75
  6. Step 6: Final answer
    x = 1,835,270.35

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.