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Finding the Third Proportional to 497,729.63 and 768,597.38

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Solution

The third proportional to 497,729.63 and 768,597.38 is: 1,186,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,729.63 : 768,597.38 = 768,597.38 : x
  2. Step 2: Convert to fraction form
    497,729.63/768,597.38 = 768,597.38/x
  3. Step 3: Cross multiply
    497,729.63x = 768,597.38 × 768,597.38
  4. Step 4: Simplify right side
    497,729.63x = 590,741,924,856.89
  5. Step 5: Solve for x
    x = 590,741,924,856.89/497,729.63
  6. Step 6: Final answer
    x = 1,186,873.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.