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Finding the Third Proportional to 540,927 and 837,544.50

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Solution

The third proportional to 540,927 and 837,544.50 is: 1,296,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,927 : 837,544.50 = 837,544.50 : x
  2. Step 2: Convert to fraction form
    540,927/837,544.50 = 837,544.50/x
  3. Step 3: Cross multiply
    540,927x = 837,544.50 × 837,544.50
  4. Step 4: Simplify right side
    540,927x = 701,480,789,480.25
  5. Step 5: Solve for x
    x = 701,480,789,480.25/540,927
  6. Step 6: Final answer
    x = 1,296,812.30

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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.