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Finding the Third Proportional to 548,643 and 783,049.50

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Solution

The third proportional to 548,643 and 783,049.50 is: 1,117,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,643 : 783,049.50 = 783,049.50 : x
  2. Step 2: Convert to fraction form
    548,643/783,049.50 = 783,049.50/x
  3. Step 3: Cross multiply
    548,643x = 783,049.50 × 783,049.50
  4. Step 4: Simplify right side
    548,643x = 613,166,519,450.25
  5. Step 5: Solve for x
    x = 613,166,519,450.25/548,643
  6. Step 6: Final answer
    x = 1,117,605.66

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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.