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Finding the Third Proportional to 249,041 and 533,074

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Solution

The third proportional to 249,041 and 533,074 is: 1,141,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,041 : 533,074 = 533,074 : x
  2. Step 2: Convert to fraction form
    249,041/533,074 = 533,074/x
  3. Step 3: Cross multiply
    249,041x = 533,074 × 533,074
  4. Step 4: Simplify right side
    249,041x = 284,167,889,476
  5. Step 5: Solve for x
    x = 284,167,889,476/249,041
  6. Step 6: Final answer
    x = 1,141,048.62

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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.