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Finding the Third Proportional to 551,085 and 1,210,588.50

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Solution

The third proportional to 551,085 and 1,210,588.50 is: 2,659,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,085 : 1,210,588.50 = 1,210,588.50 : x
  2. Step 2: Convert to fraction form
    551,085/1,210,588.50 = 1,210,588.50/x
  3. Step 3: Cross multiply
    551,085x = 1,210,588.50 × 1,210,588.50
  4. Step 4: Simplify right side
    551,085x = 1,465,524,516,332.25
  5. Step 5: Solve for x
    x = 1,465,524,516,332.25/551,085
  6. Step 6: Final answer
    x = 2,659,343.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.