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Finding the Third Proportional to 358,081 and 484,596

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Solution

The third proportional to 358,081 and 484,596 is: 655,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,081 : 484,596 = 484,596 : x
  2. Step 2: Convert to fraction form
    358,081/484,596 = 484,596/x
  3. Step 3: Cross multiply
    358,081x = 484,596 × 484,596
  4. Step 4: Simplify right side
    358,081x = 234,833,283,216
  5. Step 5: Solve for x
    x = 234,833,283,216/358,081
  6. Step 6: Final answer
    x = 655,810.51

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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.