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Finding the Third Proportional to 530,256 and 803,100

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Solution

The third proportional to 530,256 and 803,100 is: 1,216,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,256 : 803,100 = 803,100 : x
  2. Step 2: Convert to fraction form
    530,256/803,100 = 803,100/x
  3. Step 3: Cross multiply
    530,256x = 803,100 × 803,100
  4. Step 4: Simplify right side
    530,256x = 644,969,610,000
  5. Step 5: Solve for x
    x = 644,969,610,000/530,256
  6. Step 6: Final answer
    x = 1,216,336.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.