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Finding the Third Proportional to 481,153.50 and 744,937

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Solution

The third proportional to 481,153.50 and 744,937 is: 1,153,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,153.50 : 744,937 = 744,937 : x
  2. Step 2: Convert to fraction form
    481,153.50/744,937 = 744,937/x
  3. Step 3: Cross multiply
    481,153.50x = 744,937 × 744,937
  4. Step 4: Simplify right side
    481,153.50x = 554,931,133,969
  5. Step 5: Solve for x
    x = 554,931,133,969/481,153.50
  6. Step 6: Final answer
    x = 1,153,334.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.