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Finding the Third Proportional to 249,553 and 536,427

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Solution

The third proportional to 249,553 and 536,427 is: 1,153,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,553 : 536,427 = 536,427 : x
  2. Step 2: Convert to fraction form
    249,553/536,427 = 536,427/x
  3. Step 3: Cross multiply
    249,553x = 536,427 × 536,427
  4. Step 4: Simplify right side
    249,553x = 287,753,926,329
  5. Step 5: Solve for x
    x = 287,753,926,329/249,553
  6. Step 6: Final answer
    x = 1,153,077.41

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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.