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Finding the Third Proportional to 405,931.50 and 723,289.50

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Solution

The third proportional to 405,931.50 and 723,289.50 is: 1,288,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,931.50 : 723,289.50 = 723,289.50 : x
  2. Step 2: Convert to fraction form
    405,931.50/723,289.50 = 723,289.50/x
  3. Step 3: Cross multiply
    405,931.50x = 723,289.50 × 723,289.50
  4. Step 4: Simplify right side
    405,931.50x = 523,147,700,810.25
  5. Step 5: Solve for x
    x = 523,147,700,810.25/405,931.50
  6. Step 6: Final answer
    x = 1,288,758.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.