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Finding the Third Proportional to 462,289.50 and 993,330

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Solution

The third proportional to 462,289.50 and 993,330 is: 2,134,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,289.50 : 993,330 = 993,330 : x
  2. Step 2: Convert to fraction form
    462,289.50/993,330 = 993,330/x
  3. Step 3: Cross multiply
    462,289.50x = 993,330 × 993,330
  4. Step 4: Simplify right side
    462,289.50x = 986,704,488,900
  5. Step 5: Solve for x
    x = 986,704,488,900/462,289.50
  6. Step 6: Final answer
    x = 2,134,386.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.