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Finding the Third Proportional to 249,506 and 545,668

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Solution

The third proportional to 249,506 and 545,668 is: 1,193,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,506 : 545,668 = 545,668 : x
  2. Step 2: Convert to fraction form
    249,506/545,668 = 545,668/x
  3. Step 3: Cross multiply
    249,506x = 545,668 × 545,668
  4. Step 4: Simplify right side
    249,506x = 297,753,566,224
  5. Step 5: Solve for x
    x = 297,753,566,224/249,506
  6. Step 6: Final answer
    x = 1,193,372.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.