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Finding the Third Proportional to 292,059 and 633,690

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Solution

The third proportional to 292,059 and 633,690 is: 1,374,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,059 : 633,690 = 633,690 : x
  2. Step 2: Convert to fraction form
    292,059/633,690 = 633,690/x
  3. Step 3: Cross multiply
    292,059x = 633,690 × 633,690
  4. Step 4: Simplify right side
    292,059x = 401,563,016,100
  5. Step 5: Solve for x
    x = 401,563,016,100/292,059
  6. Step 6: Final answer
    x = 1,374,938.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.