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Finding the Third Proportional to 504,099 and 798,601.50

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Solution

The third proportional to 504,099 and 798,601.50 is: 1,265,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,099 : 798,601.50 = 798,601.50 : x
  2. Step 2: Convert to fraction form
    504,099/798,601.50 = 798,601.50/x
  3. Step 3: Cross multiply
    504,099x = 798,601.50 × 798,601.50
  4. Step 4: Simplify right side
    504,099x = 637,764,355,802.25
  5. Step 5: Solve for x
    x = 637,764,355,802.25/504,099
  6. Step 6: Final answer
    x = 1,265,156.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.