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Finding the Third Proportional to 249,645 and 545,997.75

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Solution

The third proportional to 249,645 and 545,997.75 is: 1,194,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,645 : 545,997.75 = 545,997.75 : x
  2. Step 2: Convert to fraction form
    249,645/545,997.75 = 545,997.75/x
  3. Step 3: Cross multiply
    249,645x = 545,997.75 × 545,997.75
  4. Step 4: Simplify right side
    249,645x = 298,113,543,005.06
  5. Step 5: Solve for x
    x = 298,113,543,005.06/249,645
  6. Step 6: Final answer
    x = 1,194,149.86

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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.