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Finding the Third Proportional to 245,296 and 525,600

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Solution

The third proportional to 245,296 and 525,600 is: 1,126,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,296 : 525,600 = 525,600 : x
  2. Step 2: Convert to fraction form
    245,296/525,600 = 525,600/x
  3. Step 3: Cross multiply
    245,296x = 525,600 × 525,600
  4. Step 4: Simplify right side
    245,296x = 276,255,360,000
  5. Step 5: Solve for x
    x = 276,255,360,000/245,296
  6. Step 6: Final answer
    x = 1,126,212.25

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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.