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Finding the Third Proportional to 362,499 and 545,844

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Solution

The third proportional to 362,499 and 545,844 is: 821,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,499 : 545,844 = 545,844 : x
  2. Step 2: Convert to fraction form
    362,499/545,844 = 545,844/x
  3. Step 3: Cross multiply
    362,499x = 545,844 × 545,844
  4. Step 4: Simplify right side
    362,499x = 297,945,672,336
  5. Step 5: Solve for x
    x = 297,945,672,336/362,499
  6. Step 6: Final answer
    x = 821,921.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.