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Finding the Third Proportional to 268,531 and 376,430

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Solution

The third proportional to 268,531 and 376,430 is: 527,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,531 : 376,430 = 376,430 : x
  2. Step 2: Convert to fraction form
    268,531/376,430 = 376,430/x
  3. Step 3: Cross multiply
    268,531x = 376,430 × 376,430
  4. Step 4: Simplify right side
    268,531x = 141,699,544,900
  5. Step 5: Solve for x
    x = 141,699,544,900/268,531
  6. Step 6: Final answer
    x = 527,684.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.