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Finding the Third Proportional to 423,876 and 594,061.50

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Solution

The third proportional to 423,876 and 594,061.50 is: 832,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,876 : 594,061.50 = 594,061.50 : x
  2. Step 2: Convert to fraction form
    423,876/594,061.50 = 594,061.50/x
  3. Step 3: Cross multiply
    423,876x = 594,061.50 × 594,061.50
  4. Step 4: Simplify right side
    423,876x = 352,909,065,782.25
  5. Step 5: Solve for x
    x = 352,909,065,782.25/423,876
  6. Step 6: Final answer
    x = 832,576.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.