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Finding the Third Proportional to 289,693.13 and 599,433.75

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Solution

The third proportional to 289,693.13 and 599,433.75 is: 1,240,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,693.13 : 599,433.75 = 599,433.75 : x
  2. Step 2: Convert to fraction form
    289,693.13/599,433.75 = 599,433.75/x
  3. Step 3: Cross multiply
    289,693.13x = 599,433.75 × 599,433.75
  4. Step 4: Simplify right side
    289,693.13x = 359,320,820,639.06
  5. Step 5: Solve for x
    x = 359,320,820,639.06/289,693.13
  6. Step 6: Final answer
    x = 1,240,349.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.