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Finding the Third Proportional to 246,826 and 532,040

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Solution

The third proportional to 246,826 and 532,040 is: 1,146,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,826 : 532,040 = 532,040 : x
  2. Step 2: Convert to fraction form
    246,826/532,040 = 532,040/x
  3. Step 3: Cross multiply
    246,826x = 532,040 × 532,040
  4. Step 4: Simplify right side
    246,826x = 283,066,561,600
  5. Step 5: Solve for x
    x = 283,066,561,600/246,826
  6. Step 6: Final answer
    x = 1,146,826.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.