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Finding the Third Proportional to 236,494 and 546,928

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Solution

The third proportional to 236,494 and 546,928 is: 1,264,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,494 : 546,928 = 546,928 : x
  2. Step 2: Convert to fraction form
    236,494/546,928 = 546,928/x
  3. Step 3: Cross multiply
    236,494x = 546,928 × 546,928
  4. Step 4: Simplify right side
    236,494x = 299,130,237,184
  5. Step 5: Solve for x
    x = 299,130,237,184/236,494
  6. Step 6: Final answer
    x = 1,264,853.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.