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Finding the Third Proportional to 604,399 and 821,322.50

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Solution

The third proportional to 604,399 and 821,322.50 is: 1,116,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,399 : 821,322.50 = 821,322.50 : x
  2. Step 2: Convert to fraction form
    604,399/821,322.50 = 821,322.50/x
  3. Step 3: Cross multiply
    604,399x = 821,322.50 × 821,322.50
  4. Step 4: Simplify right side
    604,399x = 674,570,649,006.25
  5. Step 5: Solve for x
    x = 674,570,649,006.25/604,399
  6. Step 6: Final answer
    x = 1,116,101.53

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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.