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Finding the Third Proportional to 269,740.13 and 395,862.19

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Solution

The third proportional to 269,740.13 and 395,862.19 is: 580,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,740.13 : 395,862.19 = 395,862.19 : x
  2. Step 2: Convert to fraction form
    269,740.13/395,862.19 = 395,862.19/x
  3. Step 3: Cross multiply
    269,740.13x = 395,862.19 × 395,862.19
  4. Step 4: Simplify right side
    269,740.13x = 156,706,871,492.29
  5. Step 5: Solve for x
    x = 156,706,871,492.29/269,740.13
  6. Step 6: Final answer
    x = 580,954.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.