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Finding the Third Proportional to 249,109.50 and 544,977

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Solution

The third proportional to 249,109.50 and 544,977 is: 1,192,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,109.50 : 544,977 = 544,977 : x
  2. Step 2: Convert to fraction form
    249,109.50/544,977 = 544,977/x
  3. Step 3: Cross multiply
    249,109.50x = 544,977 × 544,977
  4. Step 4: Simplify right side
    249,109.50x = 296,999,930,529
  5. Step 5: Solve for x
    x = 296,999,930,529/249,109.50
  6. Step 6: Final answer
    x = 1,192,246.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.