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Finding the Third Proportional to 249,936 and 533,088

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Solution

The third proportional to 249,936 and 533,088 is: 1,137,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,936 : 533,088 = 533,088 : x
  2. Step 2: Convert to fraction form
    249,936/533,088 = 533,088/x
  3. Step 3: Cross multiply
    249,936x = 533,088 × 533,088
  4. Step 4: Simplify right side
    249,936x = 284,182,815,744
  5. Step 5: Solve for x
    x = 284,182,815,744/249,936
  6. Step 6: Final answer
    x = 1,137,022.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.