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Finding the Third Proportional to 507,120.75 and 725,135.63

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Solution

The third proportional to 507,120.75 and 725,135.63 is: 1,036,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120.75 : 725,135.63 = 725,135.63 : x
  2. Step 2: Convert to fraction form
    507,120.75/725,135.63 = 725,135.63/x
  3. Step 3: Cross multiply
    507,120.75x = 725,135.63 × 725,135.63
  4. Step 4: Simplify right side
    507,120.75x = 525,821,674,644.14
  5. Step 5: Solve for x
    x = 525,821,674,644.14/507,120.75
  6. Step 6: Final answer
    x = 1,036,876.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.