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Finding the Third Proportional to 246,040 and 534,726

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Solution

The third proportional to 246,040 and 534,726 is: 1,162,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,040 : 534,726 = 534,726 : x
  2. Step 2: Convert to fraction form
    246,040/534,726 = 534,726/x
  3. Step 3: Cross multiply
    246,040x = 534,726 × 534,726
  4. Step 4: Simplify right side
    246,040x = 285,931,895,076
  5. Step 5: Solve for x
    x = 285,931,895,076/246,040
  6. Step 6: Final answer
    x = 1,162,135.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.