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Finding the Third Proportional to 249,326 and 536,668

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Solution

The third proportional to 249,326 and 536,668 is: 1,155,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,326 : 536,668 = 536,668 : x
  2. Step 2: Convert to fraction form
    249,326/536,668 = 536,668/x
  3. Step 3: Cross multiply
    249,326x = 536,668 × 536,668
  4. Step 4: Simplify right side
    249,326x = 288,012,542,224
  5. Step 5: Solve for x
    x = 288,012,542,224/249,326
  6. Step 6: Final answer
    x = 1,155,164.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.