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Finding the Third Proportional to 253,382 and 550,572

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Solution

The third proportional to 253,382 and 550,572 is: 1,196,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,382 : 550,572 = 550,572 : x
  2. Step 2: Convert to fraction form
    253,382/550,572 = 550,572/x
  3. Step 3: Cross multiply
    253,382x = 550,572 × 550,572
  4. Step 4: Simplify right side
    253,382x = 303,129,527,184
  5. Step 5: Solve for x
    x = 303,129,527,184/253,382
  6. Step 6: Final answer
    x = 1,196,334.10

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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.