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Finding the Third Proportional to 328,314 and 718,914

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Solution

The third proportional to 328,314 and 718,914 is: 1,574,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,314 : 718,914 = 718,914 : x
  2. Step 2: Convert to fraction form
    328,314/718,914 = 718,914/x
  3. Step 3: Cross multiply
    328,314x = 718,914 × 718,914
  4. Step 4: Simplify right side
    328,314x = 516,837,339,396
  5. Step 5: Solve for x
    x = 516,837,339,396/328,314
  6. Step 6: Final answer
    x = 1,574,216.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.