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Finding the Third Proportional to 403,838 and 633,591

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Solution

The third proportional to 403,838 and 633,591 is: 994,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,838 : 633,591 = 633,591 : x
  2. Step 2: Convert to fraction form
    403,838/633,591 = 633,591/x
  3. Step 3: Cross multiply
    403,838x = 633,591 × 633,591
  4. Step 4: Simplify right side
    403,838x = 401,437,555,281
  5. Step 5: Solve for x
    x = 401,437,555,281/403,838
  6. Step 6: Final answer
    x = 994,055.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.