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Finding the Third Proportional to 623,082 and 891,019.50

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Solution

The third proportional to 623,082 and 891,019.50 is: 1,274,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,082 : 891,019.50 = 891,019.50 : x
  2. Step 2: Convert to fraction form
    623,082/891,019.50 = 891,019.50/x
  3. Step 3: Cross multiply
    623,082x = 891,019.50 × 891,019.50
  4. Step 4: Simplify right side
    623,082x = 793,915,749,380.25
  5. Step 5: Solve for x
    x = 793,915,749,380.25/623,082
  6. Step 6: Final answer
    x = 1,274,175.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.