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Finding the Third Proportional to 677,349.84 and 928,816.88

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Solution

The third proportional to 677,349.84 and 928,816.88 is: 1,273,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,349.84 : 928,816.88 = 928,816.88 : x
  2. Step 2: Convert to fraction form
    677,349.84/928,816.88 = 928,816.88/x
  3. Step 3: Cross multiply
    677,349.84x = 928,816.88 × 928,816.88
  4. Step 4: Simplify right side
    677,349.84x = 862,700,787,284.77
  5. Step 5: Solve for x
    x = 862,700,787,284.77/677,349.84
  6. Step 6: Final answer
    x = 1,273,641.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.