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Finding the Third Proportional to 269,114 and 634,374

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Solution

The third proportional to 269,114 and 634,374 is: 1,495,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,114 : 634,374 = 634,374 : x
  2. Step 2: Convert to fraction form
    269,114/634,374 = 634,374/x
  3. Step 3: Cross multiply
    269,114x = 634,374 × 634,374
  4. Step 4: Simplify right side
    269,114x = 402,430,371,876
  5. Step 5: Solve for x
    x = 402,430,371,876/269,114
  6. Step 6: Final answer
    x = 1,495,389.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.