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Finding the Third Proportional to 482,114 and 713,329

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Solution

The third proportional to 482,114 and 713,329 is: 1,055,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,114 : 713,329 = 713,329 : x
  2. Step 2: Convert to fraction form
    482,114/713,329 = 713,329/x
  3. Step 3: Cross multiply
    482,114x = 713,329 × 713,329
  4. Step 4: Simplify right side
    482,114x = 508,838,262,241
  5. Step 5: Solve for x
    x = 508,838,262,241/482,114
  6. Step 6: Final answer
    x = 1,055,431.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.