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Finding the Third Proportional to 221,748 and 479,119.50

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Solution

The third proportional to 221,748 and 479,119.50 is: 1,035,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,748 : 479,119.50 = 479,119.50 : x
  2. Step 2: Convert to fraction form
    221,748/479,119.50 = 479,119.50/x
  3. Step 3: Cross multiply
    221,748x = 479,119.50 × 479,119.50
  4. Step 4: Simplify right side
    221,748x = 229,555,495,280.25
  5. Step 5: Solve for x
    x = 229,555,495,280.25/221,748
  6. Step 6: Final answer
    x = 1,035,208.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.