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Finding the Third Proportional to 594,882 and 848,025

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Solution

The third proportional to 594,882 and 848,025 is: 1,208,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,882 : 848,025 = 848,025 : x
  2. Step 2: Convert to fraction form
    594,882/848,025 = 848,025/x
  3. Step 3: Cross multiply
    594,882x = 848,025 × 848,025
  4. Step 4: Simplify right side
    594,882x = 719,146,400,625
  5. Step 5: Solve for x
    x = 719,146,400,625/594,882
  6. Step 6: Final answer
    x = 1,208,889.16

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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.