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Finding the Third Proportional to 510,438.25 and 760,680.38

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Solution

The third proportional to 510,438.25 and 760,680.38 is: 1,133,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,438.25 : 760,680.38 = 760,680.38 : x
  2. Step 2: Convert to fraction form
    510,438.25/760,680.38 = 760,680.38/x
  3. Step 3: Cross multiply
    510,438.25x = 760,680.38 × 760,680.38
  4. Step 4: Simplify right side
    510,438.25x = 578,634,632,910.14
  5. Step 5: Solve for x
    x = 578,634,632,910.14/510,438.25
  6. Step 6: Final answer
    x = 1,133,603.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.