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Finding the Third Proportional to 245,430 and 525,825

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Solution

The third proportional to 245,430 and 525,825 is: 1,126,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,430 : 525,825 = 525,825 : x
  2. Step 2: Convert to fraction form
    245,430/525,825 = 525,825/x
  3. Step 3: Cross multiply
    245,430x = 525,825 × 525,825
  4. Step 4: Simplify right side
    245,430x = 276,491,930,625
  5. Step 5: Solve for x
    x = 276,491,930,625/245,430
  6. Step 6: Final answer
    x = 1,126,561.26

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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.