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Finding the Third Proportional to 249,286.50 and 540,855

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Solution

The third proportional to 249,286.50 and 540,855 is: 1,173,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,286.50 : 540,855 = 540,855 : x
  2. Step 2: Convert to fraction form
    249,286.50/540,855 = 540,855/x
  3. Step 3: Cross multiply
    249,286.50x = 540,855 × 540,855
  4. Step 4: Simplify right side
    249,286.50x = 292,524,131,025
  5. Step 5: Solve for x
    x = 292,524,131,025/249,286.50
  6. Step 6: Final answer
    x = 1,173,445.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.