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Finding the Third Proportional to 325,519 and 713,102

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Solution

The third proportional to 325,519 and 713,102 is: 1,562,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,519 : 713,102 = 713,102 : x
  2. Step 2: Convert to fraction form
    325,519/713,102 = 713,102/x
  3. Step 3: Cross multiply
    325,519x = 713,102 × 713,102
  4. Step 4: Simplify right side
    325,519x = 508,514,462,404
  5. Step 5: Solve for x
    x = 508,514,462,404/325,519
  6. Step 6: Final answer
    x = 1,562,165.23

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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.