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Finding the Third Proportional to 596,917.50 and 1,288,365

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Solution

The third proportional to 596,917.50 and 1,288,365 is: 2,780,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,917.50 : 1,288,365 = 1,288,365 : x
  2. Step 2: Convert to fraction form
    596,917.50/1,288,365 = 1,288,365/x
  3. Step 3: Cross multiply
    596,917.50x = 1,288,365 × 1,288,365
  4. Step 4: Simplify right side
    596,917.50x = 1,659,884,373,225
  5. Step 5: Solve for x
    x = 1,659,884,373,225/596,917.50
  6. Step 6: Final answer
    x = 2,780,760.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.