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Finding the Third Proportional to 521,326.75 and 1,142,298.50

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Solution

The third proportional to 521,326.75 and 1,142,298.50 is: 2,502,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,326.75 : 1,142,298.50 = 1,142,298.50 : x
  2. Step 2: Convert to fraction form
    521,326.75/1,142,298.50 = 1,142,298.50/x
  3. Step 3: Cross multiply
    521,326.75x = 1,142,298.50 × 1,142,298.50
  4. Step 4: Simplify right side
    521,326.75x = 1,304,845,863,102.25
  5. Step 5: Solve for x
    x = 1,304,845,863,102.25/521,326.75
  6. Step 6: Final answer
    x = 2,502,932.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.