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Finding the Third Proportional to 292,502 and 632,976

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Solution

The third proportional to 292,502 and 632,976 is: 1,369,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,502 : 632,976 = 632,976 : x
  2. Step 2: Convert to fraction form
    292,502/632,976 = 632,976/x
  3. Step 3: Cross multiply
    292,502x = 632,976 × 632,976
  4. Step 4: Simplify right side
    292,502x = 400,658,616,576
  5. Step 5: Solve for x
    x = 400,658,616,576/292,502
  6. Step 6: Final answer
    x = 1,369,763.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.