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Finding the Third Proportional to 458,079 and 713,293

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Solution

The third proportional to 458,079 and 713,293 is: 1,110,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,079 : 713,293 = 713,293 : x
  2. Step 2: Convert to fraction form
    458,079/713,293 = 713,293/x
  3. Step 3: Cross multiply
    458,079x = 713,293 × 713,293
  4. Step 4: Simplify right side
    458,079x = 508,786,903,849
  5. Step 5: Solve for x
    x = 508,786,903,849/458,079
  6. Step 6: Final answer
    x = 1,110,696.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.