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Finding the Third Proportional to 581,025 and 792,121.50

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Solution

The third proportional to 581,025 and 792,121.50 is: 1,079,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,025 : 792,121.50 = 792,121.50 : x
  2. Step 2: Convert to fraction form
    581,025/792,121.50 = 792,121.50/x
  3. Step 3: Cross multiply
    581,025x = 792,121.50 × 792,121.50
  4. Step 4: Simplify right side
    581,025x = 627,456,470,762.25
  5. Step 5: Solve for x
    x = 627,456,470,762.25/581,025
  6. Step 6: Final answer
    x = 1,079,913.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.