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Finding the Third Proportional to 249,429.38 and 547,149.94

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Solution

The third proportional to 249,429.38 and 547,149.94 is: 1,200,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,429.38 : 547,149.94 = 547,149.94 : x
  2. Step 2: Convert to fraction form
    249,429.38/547,149.94 = 547,149.94/x
  3. Step 3: Cross multiply
    249,429.38x = 547,149.94 × 547,149.94
  4. Step 4: Simplify right side
    249,429.38x = 299,373,054,106.25
  5. Step 5: Solve for x
    x = 299,373,054,106.25/249,429.38
  6. Step 6: Final answer
    x = 1,200,231.75

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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.