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Finding the Third Proportional to 542,817 and 798,436.50

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Solution

The third proportional to 542,817 and 798,436.50 is: 1,174,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,817 : 798,436.50 = 798,436.50 : x
  2. Step 2: Convert to fraction form
    542,817/798,436.50 = 798,436.50/x
  3. Step 3: Cross multiply
    542,817x = 798,436.50 × 798,436.50
  4. Step 4: Simplify right side
    542,817x = 637,500,844,532.25
  5. Step 5: Solve for x
    x = 637,500,844,532.25/542,817
  6. Step 6: Final answer
    x = 1,174,430.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.