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Finding the Third Proportional to 420,925.50 and 638,154

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Solution

The third proportional to 420,925.50 and 638,154 is: 967,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,925.50 : 638,154 = 638,154 : x
  2. Step 2: Convert to fraction form
    420,925.50/638,154 = 638,154/x
  3. Step 3: Cross multiply
    420,925.50x = 638,154 × 638,154
  4. Step 4: Simplify right side
    420,925.50x = 407,240,527,716
  5. Step 5: Solve for x
    x = 407,240,527,716/420,925.50
  6. Step 6: Final answer
    x = 967,488.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.