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Finding the Third Proportional to 475,810 and 737,619

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Solution

The third proportional to 475,810 and 737,619 is: 1,143,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,810 : 737,619 = 737,619 : x
  2. Step 2: Convert to fraction form
    475,810/737,619 = 737,619/x
  3. Step 3: Cross multiply
    475,810x = 737,619 × 737,619
  4. Step 4: Simplify right side
    475,810x = 544,081,789,161
  5. Step 5: Solve for x
    x = 544,081,789,161/475,810
  6. Step 6: Final answer
    x = 1,143,485.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.