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Finding the Third Proportional to 286,582.43 and 585,607.69

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Solution

The third proportional to 286,582.43 and 585,607.69 is: 1,196,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,582.43 : 585,607.69 = 585,607.69 : x
  2. Step 2: Convert to fraction form
    286,582.43/585,607.69 = 585,607.69/x
  3. Step 3: Cross multiply
    286,582.43x = 585,607.69 × 585,607.69
  4. Step 4: Simplify right side
    286,582.43x = 342,936,370,521.69
  5. Step 5: Solve for x
    x = 342,936,370,521.69/286,582.43
  6. Step 6: Final answer
    x = 1,196,641.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.