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Finding the Third Proportional to 328,573 and 706,210

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Solution

The third proportional to 328,573 and 706,210 is: 1,517,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,573 : 706,210 = 706,210 : x
  2. Step 2: Convert to fraction form
    328,573/706,210 = 706,210/x
  3. Step 3: Cross multiply
    328,573x = 706,210 × 706,210
  4. Step 4: Simplify right side
    328,573x = 498,732,564,100
  5. Step 5: Solve for x
    x = 498,732,564,100/328,573
  6. Step 6: Final answer
    x = 1,517,874.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.