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Finding the Third Proportional to 295,326 and 632,664

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Solution

The third proportional to 295,326 and 632,664 is: 1,355,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,326 : 632,664 = 632,664 : x
  2. Step 2: Convert to fraction form
    295,326/632,664 = 632,664/x
  3. Step 3: Cross multiply
    295,326x = 632,664 × 632,664
  4. Step 4: Simplify right side
    295,326x = 400,263,736,896
  5. Step 5: Solve for x
    x = 400,263,736,896/295,326
  6. Step 6: Final answer
    x = 1,355,328.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.