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Finding the Third Proportional to 403,438.50 and 877,842

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Solution

The third proportional to 403,438.50 and 877,842 is: 1,910,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,438.50 : 877,842 = 877,842 : x
  2. Step 2: Convert to fraction form
    403,438.50/877,842 = 877,842/x
  3. Step 3: Cross multiply
    403,438.50x = 877,842 × 877,842
  4. Step 4: Simplify right side
    403,438.50x = 770,606,576,964
  5. Step 5: Solve for x
    x = 770,606,576,964/403,438.50
  6. Step 6: Final answer
    x = 1,910,096.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.