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Finding the Third Proportional to 249,933.09 and 533,081.25

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Solution

The third proportional to 249,933.09 and 533,081.25 is: 1,137,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,933.09 : 533,081.25 = 533,081.25 : x
  2. Step 2: Convert to fraction form
    249,933.09/533,081.25 = 533,081.25/x
  3. Step 3: Cross multiply
    249,933.09x = 533,081.25 × 533,081.25
  4. Step 4: Simplify right side
    249,933.09x = 284,175,619,101.56
  5. Step 5: Solve for x
    x = 284,175,619,101.56/249,933.09
  6. Step 6: Final answer
    x = 1,137,006.77

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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.