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Finding the Third Proportional to 603,477 and 911,368.50

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Solution

The third proportional to 603,477 and 911,368.50 is: 1,376,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,477 : 911,368.50 = 911,368.50 : x
  2. Step 2: Convert to fraction form
    603,477/911,368.50 = 911,368.50/x
  3. Step 3: Cross multiply
    603,477x = 911,368.50 × 911,368.50
  4. Step 4: Simplify right side
    603,477x = 830,592,542,792.25
  5. Step 5: Solve for x
    x = 830,592,542,792.25/603,477
  6. Step 6: Final answer
    x = 1,376,344.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.