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Finding the Third Proportional to 245,487 and 380,998.50

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Solution

The third proportional to 245,487 and 380,998.50 is: 591,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,487 : 380,998.50 = 380,998.50 : x
  2. Step 2: Convert to fraction form
    245,487/380,998.50 = 380,998.50/x
  3. Step 3: Cross multiply
    245,487x = 380,998.50 × 380,998.50
  4. Step 4: Simplify right side
    245,487x = 145,159,857,002.25
  5. Step 5: Solve for x
    x = 145,159,857,002.25/245,487
  6. Step 6: Final answer
    x = 591,313.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.