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Finding the Third Proportional to 292,503 and 632,981

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Solution

The third proportional to 292,503 and 632,981 is: 1,369,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,503 : 632,981 = 632,981 : x
  2. Step 2: Convert to fraction form
    292,503/632,981 = 632,981/x
  3. Step 3: Cross multiply
    292,503x = 632,981 × 632,981
  4. Step 4: Simplify right side
    292,503x = 400,664,946,361
  5. Step 5: Solve for x
    x = 400,664,946,361/292,503
  6. Step 6: Final answer
    x = 1,369,780.64

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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.