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Finding the Third Proportional to 253,295 and 550,492

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Solution

The third proportional to 253,295 and 550,492 is: 1,196,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,295 : 550,492 = 550,492 : x
  2. Step 2: Convert to fraction form
    253,295/550,492 = 550,492/x
  3. Step 3: Cross multiply
    253,295x = 550,492 × 550,492
  4. Step 4: Simplify right side
    253,295x = 303,041,442,064
  5. Step 5: Solve for x
    x = 303,041,442,064/253,295
  6. Step 6: Final answer
    x = 1,196,397.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.