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Finding the Third Proportional to 648,210.50 and 981,259

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Solution

The third proportional to 648,210.50 and 981,259 is: 1,485,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,210.50 : 981,259 = 981,259 : x
  2. Step 2: Convert to fraction form
    648,210.50/981,259 = 981,259/x
  3. Step 3: Cross multiply
    648,210.50x = 981,259 × 981,259
  4. Step 4: Simplify right side
    648,210.50x = 962,869,225,081
  5. Step 5: Solve for x
    x = 962,869,225,081/648,210.50
  6. Step 6: Final answer
    x = 1,485,426.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.