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Finding the Third Proportional to 253,810.13 and 541,870.50

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Solution

The third proportional to 253,810.13 and 541,870.50 is: 1,156,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,810.13 : 541,870.50 = 541,870.50 : x
  2. Step 2: Convert to fraction form
    253,810.13/541,870.50 = 541,870.50/x
  3. Step 3: Cross multiply
    253,810.13x = 541,870.50 × 541,870.50
  4. Step 4: Simplify right side
    253,810.13x = 293,623,638,770.25
  5. Step 5: Solve for x
    x = 293,623,638,770.25/253,810.13
  6. Step 6: Final answer
    x = 1,156,863.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.