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Finding the Third Proportional to 328,528 and 706,134

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Solution

The third proportional to 328,528 and 706,134 is: 1,517,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,528 : 706,134 = 706,134 : x
  2. Step 2: Convert to fraction form
    328,528/706,134 = 706,134/x
  3. Step 3: Cross multiply
    328,528x = 706,134 × 706,134
  4. Step 4: Simplify right side
    328,528x = 498,625,225,956
  5. Step 5: Solve for x
    x = 498,625,225,956/328,528
  6. Step 6: Final answer
    x = 1,517,755.64

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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.