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Finding the Third Proportional to 358,078 and 484,593

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Solution

The third proportional to 358,078 and 484,593 is: 655,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,078 : 484,593 = 484,593 : x
  2. Step 2: Convert to fraction form
    358,078/484,593 = 484,593/x
  3. Step 3: Cross multiply
    358,078x = 484,593 × 484,593
  4. Step 4: Simplify right side
    358,078x = 234,830,375,649
  5. Step 5: Solve for x
    x = 234,830,375,649/358,078
  6. Step 6: Final answer
    x = 655,807.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.