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Finding the Third Proportional to 328,214 and 703,084

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Solution

The third proportional to 328,214 and 703,084 is: 1,506,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,214 : 703,084 = 703,084 : x
  2. Step 2: Convert to fraction form
    328,214/703,084 = 703,084/x
  3. Step 3: Cross multiply
    328,214x = 703,084 × 703,084
  4. Step 4: Simplify right side
    328,214x = 494,327,111,056
  5. Step 5: Solve for x
    x = 494,327,111,056/328,214
  6. Step 6: Final answer
    x = 1,506,112.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.