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Finding the Third Proportional to 329,114 and 492,803

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Solution

The third proportional to 329,114 and 492,803 is: 737,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114 : 492,803 = 492,803 : x
  2. Step 2: Convert to fraction form
    329,114/492,803 = 492,803/x
  3. Step 3: Cross multiply
    329,114x = 492,803 × 492,803
  4. Step 4: Simplify right side
    329,114x = 242,854,796,809
  5. Step 5: Solve for x
    x = 242,854,796,809/329,114
  6. Step 6: Final answer
    x = 737,904.79

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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.