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Finding the Third Proportional to 249,795 and 380,911.50

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Solution

The third proportional to 249,795 and 380,911.50 is: 580,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,795 : 380,911.50 = 380,911.50 : x
  2. Step 2: Convert to fraction form
    249,795/380,911.50 = 380,911.50/x
  3. Step 3: Cross multiply
    249,795x = 380,911.50 × 380,911.50
  4. Step 4: Simplify right side
    249,795x = 145,093,570,832.25
  5. Step 5: Solve for x
    x = 145,093,570,832.25/249,795
  6. Step 6: Final answer
    x = 580,850.58

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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.