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Finding the Third Proportional to 338,531 and 735,383

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Solution

The third proportional to 338,531 and 735,383 is: 1,597,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,531 : 735,383 = 735,383 : x
  2. Step 2: Convert to fraction form
    338,531/735,383 = 735,383/x
  3. Step 3: Cross multiply
    338,531x = 735,383 × 735,383
  4. Step 4: Simplify right side
    338,531x = 540,788,156,689
  5. Step 5: Solve for x
    x = 540,788,156,689/338,531
  6. Step 6: Final answer
    x = 1,597,455.35

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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.