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Finding the Third Proportional to 328,796 and 482,823

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Solution

The third proportional to 328,796 and 482,823 is: 709,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,796 : 482,823 = 482,823 : x
  2. Step 2: Convert to fraction form
    328,796/482,823 = 482,823/x
  3. Step 3: Cross multiply
    328,796x = 482,823 × 482,823
  4. Step 4: Simplify right side
    328,796x = 233,118,049,329
  5. Step 5: Solve for x
    x = 233,118,049,329/328,796
  6. Step 6: Final answer
    x = 709,005.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.