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Finding the Third Proportional to 225,324 and 482,630

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Solution

The third proportional to 225,324 and 482,630 is: 1,033,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,324 : 482,630 = 482,630 : x
  2. Step 2: Convert to fraction form
    225,324/482,630 = 482,630/x
  3. Step 3: Cross multiply
    225,324x = 482,630 × 482,630
  4. Step 4: Simplify right side
    225,324x = 232,931,716,900
  5. Step 5: Solve for x
    x = 232,931,716,900/225,324
  6. Step 6: Final answer
    x = 1,033,763.46

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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.