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Finding the Third Proportional to 532,992 and 820,070

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Solution

The third proportional to 532,992 and 820,070 is: 1,261,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,992 : 820,070 = 820,070 : x
  2. Step 2: Convert to fraction form
    532,992/820,070 = 820,070/x
  3. Step 3: Cross multiply
    532,992x = 820,070 × 820,070
  4. Step 4: Simplify right side
    532,992x = 672,514,804,900
  5. Step 5: Solve for x
    x = 672,514,804,900/532,992
  6. Step 6: Final answer
    x = 1,261,772.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.