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Finding the Third Proportional to 730,459.50 and 1,601,025

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Solution

The third proportional to 730,459.50 and 1,601,025 is: 3,509,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,459.50 : 1,601,025 = 1,601,025 : x
  2. Step 2: Convert to fraction form
    730,459.50/1,601,025 = 1,601,025/x
  3. Step 3: Cross multiply
    730,459.50x = 1,601,025 × 1,601,025
  4. Step 4: Simplify right side
    730,459.50x = 2,563,281,050,625
  5. Step 5: Solve for x
    x = 2,563,281,050,625/730,459.50
  6. Step 6: Final answer
    x = 3,509,135.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.