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Finding the Third Proportional to 677,434.50 and 990,718.50

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Solution

The third proportional to 677,434.50 and 990,718.50 is: 1,448,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,434.50 : 990,718.50 = 990,718.50 : x
  2. Step 2: Convert to fraction form
    677,434.50/990,718.50 = 990,718.50/x
  3. Step 3: Cross multiply
    677,434.50x = 990,718.50 × 990,718.50
  4. Step 4: Simplify right side
    677,434.50x = 981,523,146,242.25
  5. Step 5: Solve for x
    x = 981,523,146,242.25/677,434.50
  6. Step 6: Final answer
    x = 1,448,882.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.