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Finding the Third Proportional to 540,902.81 and 837,499.50

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Solution

The third proportional to 540,902.81 and 837,499.50 is: 1,296,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,902.81 : 837,499.50 = 837,499.50 : x
  2. Step 2: Convert to fraction form
    540,902.81/837,499.50 = 837,499.50/x
  3. Step 3: Cross multiply
    540,902.81x = 837,499.50 × 837,499.50
  4. Step 4: Simplify right side
    540,902.81x = 701,405,412,500.25
  5. Step 5: Solve for x
    x = 701,405,412,500.25/540,902.81
  6. Step 6: Final answer
    x = 1,296,730.94

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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.