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Finding the Third Proportional to 249,320 and 533,668

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Solution

The third proportional to 249,320 and 533,668 is: 1,142,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,320 : 533,668 = 533,668 : x
  2. Step 2: Convert to fraction form
    249,320/533,668 = 533,668/x
  3. Step 3: Cross multiply
    249,320x = 533,668 × 533,668
  4. Step 4: Simplify right side
    249,320x = 284,801,534,224
  5. Step 5: Solve for x
    x = 284,801,534,224/249,320
  6. Step 6: Final answer
    x = 1,142,313.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.