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Finding the Third Proportional to 541,760.50 and 840,030

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Solution

The third proportional to 541,760.50 and 840,030 is: 1,302,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,760.50 : 840,030 = 840,030 : x
  2. Step 2: Convert to fraction form
    541,760.50/840,030 = 840,030/x
  3. Step 3: Cross multiply
    541,760.50x = 840,030 × 840,030
  4. Step 4: Simplify right side
    541,760.50x = 705,650,400,900
  5. Step 5: Solve for x
    x = 705,650,400,900/541,760.50
  6. Step 6: Final answer
    x = 1,302,513.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.