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Finding the Third Proportional to 425,074.50 and 594,351

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Solution

The third proportional to 425,074.50 and 594,351 is: 831,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,074.50 : 594,351 = 594,351 : x
  2. Step 2: Convert to fraction form
    425,074.50/594,351 = 594,351/x
  3. Step 3: Cross multiply
    425,074.50x = 594,351 × 594,351
  4. Step 4: Simplify right side
    425,074.50x = 353,253,111,201
  5. Step 5: Solve for x
    x = 353,253,111,201/425,074.50
  6. Step 6: Final answer
    x = 831,038.11

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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.