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Finding the Third Proportional to 543,108 and 759,658.50

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Solution

The third proportional to 543,108 and 759,658.50 is: 1,062,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,108 : 759,658.50 = 759,658.50 : x
  2. Step 2: Convert to fraction form
    543,108/759,658.50 = 759,658.50/x
  3. Step 3: Cross multiply
    543,108x = 759,658.50 × 759,658.50
  4. Step 4: Simplify right side
    543,108x = 577,081,036,622.25
  5. Step 5: Solve for x
    x = 577,081,036,622.25/543,108
  6. Step 6: Final answer
    x = 1,062,553.00

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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.