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Finding the Third Proportional to 532,264 and 803,922

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Solution

The third proportional to 532,264 and 803,922 is: 1,214,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,264 : 803,922 = 803,922 : x
  2. Step 2: Convert to fraction form
    532,264/803,922 = 803,922/x
  3. Step 3: Cross multiply
    532,264x = 803,922 × 803,922
  4. Step 4: Simplify right side
    532,264x = 646,290,582,084
  5. Step 5: Solve for x
    x = 646,290,582,084/532,264
  6. Step 6: Final answer
    x = 1,214,229.37

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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.