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Finding the Third Proportional to 336,145.50 and 725,773.50

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Solution

The third proportional to 336,145.50 and 725,773.50 is: 1,567,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,145.50 : 725,773.50 = 725,773.50 : x
  2. Step 2: Convert to fraction form
    336,145.50/725,773.50 = 725,773.50/x
  3. Step 3: Cross multiply
    336,145.50x = 725,773.50 × 725,773.50
  4. Step 4: Simplify right side
    336,145.50x = 526,747,173,302.25
  5. Step 5: Solve for x
    x = 526,747,173,302.25/336,145.50
  6. Step 6: Final answer
    x = 1,567,021.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.