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Finding the Third Proportional to 245,679 and 532,830

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Solution

The third proportional to 245,679 and 532,830 is: 1,155,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,679 : 532,830 = 532,830 : x
  2. Step 2: Convert to fraction form
    245,679/532,830 = 532,830/x
  3. Step 3: Cross multiply
    245,679x = 532,830 × 532,830
  4. Step 4: Simplify right side
    245,679x = 283,907,808,900
  5. Step 5: Solve for x
    x = 283,907,808,900/245,679
  6. Step 6: Final answer
    x = 1,155,604.71

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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.