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Finding the Third Proportional to 405,930 and 631,042.50

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Solution

The third proportional to 405,930 and 631,042.50 is: 980,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,930 : 631,042.50 = 631,042.50 : x
  2. Step 2: Convert to fraction form
    405,930/631,042.50 = 631,042.50/x
  3. Step 3: Cross multiply
    405,930x = 631,042.50 × 631,042.50
  4. Step 4: Simplify right side
    405,930x = 398,214,636,806.25
  5. Step 5: Solve for x
    x = 398,214,636,806.25/405,930
  6. Step 6: Final answer
    x = 980,993.37

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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.