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Finding the Third Proportional to 604,403 and 821,328.50

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Solution

The third proportional to 604,403 and 821,328.50 is: 1,116,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,403 : 821,328.50 = 821,328.50 : x
  2. Step 2: Convert to fraction form
    604,403/821,328.50 = 821,328.50/x
  3. Step 3: Cross multiply
    604,403x = 821,328.50 × 821,328.50
  4. Step 4: Simplify right side
    604,403x = 674,580,504,912.25
  5. Step 5: Solve for x
    x = 674,580,504,912.25/604,403
  6. Step 6: Final answer
    x = 1,116,110.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.