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Finding the Third Proportional to 638,282 and 952,905

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Solution

The third proportional to 638,282 and 952,905 is: 1,422,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,282 : 952,905 = 952,905 : x
  2. Step 2: Convert to fraction form
    638,282/952,905 = 952,905/x
  3. Step 3: Cross multiply
    638,282x = 952,905 × 952,905
  4. Step 4: Simplify right side
    638,282x = 908,027,939,025
  5. Step 5: Solve for x
    x = 908,027,939,025/638,282
  6. Step 6: Final answer
    x = 1,422,612.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.