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Finding the Third Proportional to 249,674.91 and 380,735.44

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Solution

The third proportional to 249,674.91 and 380,735.44 is: 580,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,674.91 : 380,735.44 = 380,735.44 : x
  2. Step 2: Convert to fraction form
    249,674.91/380,735.44 = 380,735.44/x
  3. Step 3: Cross multiply
    249,674.91x = 380,735.44 × 380,735.44
  4. Step 4: Simplify right side
    249,674.91x = 144,959,473,368.32
  5. Step 5: Solve for x
    x = 144,959,473,368.32/249,674.91
  6. Step 6: Final answer
    x = 580,592.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.