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Finding the Third Proportional to 295,528.50 and 576,289.69

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Solution

The third proportional to 295,528.50 and 576,289.69 is: 1,123,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,528.50 : 576,289.69 = 576,289.69 : x
  2. Step 2: Convert to fraction form
    295,528.50/576,289.69 = 576,289.69/x
  3. Step 3: Cross multiply
    295,528.50x = 576,289.69 × 576,289.69
  4. Step 4: Simplify right side
    295,528.50x = 332,109,803,918.85
  5. Step 5: Solve for x
    x = 332,109,803,918.85/295,528.50
  6. Step 6: Final answer
    x = 1,123,782.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.