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Finding the Third Proportional to 499,152 and 748,485

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Solution

The third proportional to 499,152 and 748,485 is: 1,122,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,152 : 748,485 = 748,485 : x
  2. Step 2: Convert to fraction form
    499,152/748,485 = 748,485/x
  3. Step 3: Cross multiply
    499,152x = 748,485 × 748,485
  4. Step 4: Simplify right side
    499,152x = 560,229,795,225
  5. Step 5: Solve for x
    x = 560,229,795,225/499,152
  6. Step 6: Final answer
    x = 1,122,363.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.