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Finding the Third Proportional to 315,038 and 682,564

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Solution

The third proportional to 315,038 and 682,564 is: 1,478,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,038 : 682,564 = 682,564 : x
  2. Step 2: Convert to fraction form
    315,038/682,564 = 682,564/x
  3. Step 3: Cross multiply
    315,038x = 682,564 × 682,564
  4. Step 4: Simplify right side
    315,038x = 465,893,614,096
  5. Step 5: Solve for x
    x = 465,893,614,096/315,038
  6. Step 6: Final answer
    x = 1,478,848.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.