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Finding the Third Proportional to 594,747.25 and 847,833.75

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Solution

The third proportional to 594,747.25 and 847,833.75 is: 1,208,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,747.25 : 847,833.75 = 847,833.75 : x
  2. Step 2: Convert to fraction form
    594,747.25/847,833.75 = 847,833.75/x
  3. Step 3: Cross multiply
    594,747.25x = 847,833.75 × 847,833.75
  4. Step 4: Simplify right side
    594,747.25x = 718,822,067,639.06
  5. Step 5: Solve for x
    x = 718,822,067,639.06/594,747.25
  6. Step 6: Final answer
    x = 1,208,617.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.