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Finding the Third Proportional to 221,409 and 352,476.50

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Solution

The third proportional to 221,409 and 352,476.50 is: 561,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409 : 352,476.50 = 352,476.50 : x
  2. Step 2: Convert to fraction form
    221,409/352,476.50 = 352,476.50/x
  3. Step 3: Cross multiply
    221,409x = 352,476.50 × 352,476.50
  4. Step 4: Simplify right side
    221,409x = 124,239,683,052.25
  5. Step 5: Solve for x
    x = 124,239,683,052.25/221,409
  6. Step 6: Final answer
    x = 561,132.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.