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Finding the Third Proportional to 220,822.50 and 478,986

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Solution

The third proportional to 220,822.50 and 478,986 is: 1,038,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,822.50 : 478,986 = 478,986 : x
  2. Step 2: Convert to fraction form
    220,822.50/478,986 = 478,986/x
  3. Step 3: Cross multiply
    220,822.50x = 478,986 × 478,986
  4. Step 4: Simplify right side
    220,822.50x = 229,427,588,196
  5. Step 5: Solve for x
    x = 229,427,588,196/220,822.50
  6. Step 6: Final answer
    x = 1,038,968.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.