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Finding the Third Proportional to 530,256 and 803,104

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Solution

The third proportional to 530,256 and 803,104 is: 1,216,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,256 : 803,104 = 803,104 : x
  2. Step 2: Convert to fraction form
    530,256/803,104 = 803,104/x
  3. Step 3: Cross multiply
    530,256x = 803,104 × 803,104
  4. Step 4: Simplify right side
    530,256x = 644,976,034,816
  5. Step 5: Solve for x
    x = 644,976,034,816/530,256
  6. Step 6: Final answer
    x = 1,216,348.40

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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.