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Finding the Third Proportional to 329,532 and 493,164

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Solution

The third proportional to 329,532 and 493,164 is: 738,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,532 : 493,164 = 493,164 : x
  2. Step 2: Convert to fraction form
    329,532/493,164 = 493,164/x
  3. Step 3: Cross multiply
    329,532x = 493,164 × 493,164
  4. Step 4: Simplify right side
    329,532x = 243,210,730,896
  5. Step 5: Solve for x
    x = 243,210,730,896/329,532
  6. Step 6: Final answer
    x = 738,048.90

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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.