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Finding the Third Proportional to 270,940 and 402,484.50

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Solution

The third proportional to 270,940 and 402,484.50 is: 597,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,940 : 402,484.50 = 402,484.50 : x
  2. Step 2: Convert to fraction form
    270,940/402,484.50 = 402,484.50/x
  3. Step 3: Cross multiply
    270,940x = 402,484.50 × 402,484.50
  4. Step 4: Simplify right side
    270,940x = 161,993,772,740.25
  5. Step 5: Solve for x
    x = 161,993,772,740.25/270,940
  6. Step 6: Final answer
    x = 597,895.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.