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Finding the Third Proportional to 363,478 and 849,023

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Solution

The third proportional to 363,478 and 849,023 is: 1,983,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,478 : 849,023 = 849,023 : x
  2. Step 2: Convert to fraction form
    363,478/849,023 = 849,023/x
  3. Step 3: Cross multiply
    363,478x = 849,023 × 849,023
  4. Step 4: Simplify right side
    363,478x = 720,840,054,529
  5. Step 5: Solve for x
    x = 720,840,054,529/363,478
  6. Step 6: Final answer
    x = 1,983,173.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.