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Finding the Third Proportional to 249,005 and 533,519

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Solution

The third proportional to 249,005 and 533,519 is: 1,143,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,005 : 533,519 = 533,519 : x
  2. Step 2: Convert to fraction form
    249,005/533,519 = 533,519/x
  3. Step 3: Cross multiply
    249,005x = 533,519 × 533,519
  4. Step 4: Simplify right side
    249,005x = 284,642,523,361
  5. Step 5: Solve for x
    x = 284,642,523,361/249,005
  6. Step 6: Final answer
    x = 1,143,119.71

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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.