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Finding the Third Proportional to 249,794.50 and 380,949

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Solution

The third proportional to 249,794.50 and 380,949 is: 580,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,794.50 : 380,949 = 380,949 : x
  2. Step 2: Convert to fraction form
    249,794.50/380,949 = 380,949/x
  3. Step 3: Cross multiply
    249,794.50x = 380,949 × 380,949
  4. Step 4: Simplify right side
    249,794.50x = 145,122,140,601
  5. Step 5: Solve for x
    x = 145,122,140,601/249,794.50
  6. Step 6: Final answer
    x = 580,966.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.