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Finding the Third Proportional to 329,303 and 496,548.50

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Solution

The third proportional to 329,303 and 496,548.50 is: 748,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,303 : 496,548.50 = 496,548.50 : x
  2. Step 2: Convert to fraction form
    329,303/496,548.50 = 496,548.50/x
  3. Step 3: Cross multiply
    329,303x = 496,548.50 × 496,548.50
  4. Step 4: Simplify right side
    329,303x = 246,560,412,852.25
  5. Step 5: Solve for x
    x = 246,560,412,852.25/329,303
  6. Step 6: Final answer
    x = 748,734.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.