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Finding the Third Proportional to 269,082 and 634,297.50

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Solution

The third proportional to 269,082 and 634,297.50 is: 1,495,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,082 : 634,297.50 = 634,297.50 : x
  2. Step 2: Convert to fraction form
    269,082/634,297.50 = 634,297.50/x
  3. Step 3: Cross multiply
    269,082x = 634,297.50 × 634,297.50
  4. Step 4: Simplify right side
    269,082x = 402,333,318,506.25
  5. Step 5: Solve for x
    x = 402,333,318,506.25/269,082
  6. Step 6: Final answer
    x = 1,495,207.11

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