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Finding the Third Proportional to 253,197 and 554,706

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Solution

The third proportional to 253,197 and 554,706 is: 1,215,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,197 : 554,706 = 554,706 : x
  2. Step 2: Convert to fraction form
    253,197/554,706 = 554,706/x
  3. Step 3: Cross multiply
    253,197x = 554,706 × 554,706
  4. Step 4: Simplify right side
    253,197x = 307,698,746,436
  5. Step 5: Solve for x
    x = 307,698,746,436/253,197
  6. Step 6: Final answer
    x = 1,215,254.31

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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.