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Finding the Third Proportional to 497,765.25 and 1,170,051.75

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Solution

The third proportional to 497,765.25 and 1,170,051.75 is: 2,750,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,765.25 : 1,170,051.75 = 1,170,051.75 : x
  2. Step 2: Convert to fraction form
    497,765.25/1,170,051.75 = 1,170,051.75/x
  3. Step 3: Cross multiply
    497,765.25x = 1,170,051.75 × 1,170,051.75
  4. Step 4: Simplify right side
    497,765.25x = 1,369,021,097,678.06
  5. Step 5: Solve for x
    x = 1,369,021,097,678.06/497,765.25
  6. Step 6: Final answer
    x = 2,750,334.82

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.