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Finding the Third Proportional to 328,116 and 469,202

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Solution

The third proportional to 328,116 and 469,202 is: 670,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,116 : 469,202 = 469,202 : x
  2. Step 2: Convert to fraction form
    328,116/469,202 = 469,202/x
  3. Step 3: Cross multiply
    328,116x = 469,202 × 469,202
  4. Step 4: Simplify right side
    328,116x = 220,150,516,804
  5. Step 5: Solve for x
    x = 220,150,516,804/328,116
  6. Step 6: Final answer
    x = 670,953.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.