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Finding the Third Proportional to 638,856 and 958,296

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Solution

The third proportional to 638,856 and 958,296 is: 1,437,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,856 : 958,296 = 958,296 : x
  2. Step 2: Convert to fraction form
    638,856/958,296 = 958,296/x
  3. Step 3: Cross multiply
    638,856x = 958,296 × 958,296
  4. Step 4: Simplify right side
    638,856x = 918,331,223,616
  5. Step 5: Solve for x
    x = 918,331,223,616/638,856
  6. Step 6: Final answer
    x = 1,437,462.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.