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Finding the Third Proportional to 236,498 and 546,938

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Solution

The third proportional to 236,498 and 546,938 is: 1,264,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,498 : 546,938 = 546,938 : x
  2. Step 2: Convert to fraction form
    236,498/546,938 = 546,938/x
  3. Step 3: Cross multiply
    236,498x = 546,938 × 546,938
  4. Step 4: Simplify right side
    236,498x = 299,141,175,844
  5. Step 5: Solve for x
    x = 299,141,175,844/236,498
  6. Step 6: Final answer
    x = 1,264,878.25

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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.