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Finding the Third Proportional to 487,406 and 713,059

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Solution

The third proportional to 487,406 and 713,059 is: 1,043,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,406 : 713,059 = 713,059 : x
  2. Step 2: Convert to fraction form
    487,406/713,059 = 713,059/x
  3. Step 3: Cross multiply
    487,406x = 713,059 × 713,059
  4. Step 4: Simplify right side
    487,406x = 508,453,137,481
  5. Step 5: Solve for x
    x = 508,453,137,481/487,406
  6. Step 6: Final answer
    x = 1,043,181.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.