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Finding the Third Proportional to 288,859.50 and 596,119.50

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Solution

The third proportional to 288,859.50 and 596,119.50 is: 1,230,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,859.50 : 596,119.50 = 596,119.50 : x
  2. Step 2: Convert to fraction form
    288,859.50/596,119.50 = 596,119.50/x
  3. Step 3: Cross multiply
    288,859.50x = 596,119.50 × 596,119.50
  4. Step 4: Simplify right side
    288,859.50x = 355,358,458,280.25
  5. Step 5: Solve for x
    x = 355,358,458,280.25/288,859.50
  6. Step 6: Final answer
    x = 1,230,212.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.