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Finding the Third Proportional to 550,438.50 and 842,071.50

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Solution

The third proportional to 550,438.50 and 842,071.50 is: 1,288,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,438.50 : 842,071.50 = 842,071.50 : x
  2. Step 2: Convert to fraction form
    550,438.50/842,071.50 = 842,071.50/x
  3. Step 3: Cross multiply
    550,438.50x = 842,071.50 × 842,071.50
  4. Step 4: Simplify right side
    550,438.50x = 709,084,411,112.25
  5. Step 5: Solve for x
    x = 709,084,411,112.25/550,438.50
  6. Step 6: Final answer
    x = 1,288,217.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.