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Finding the Third Proportional to 539,543 and 810,705

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Solution

The third proportional to 539,543 and 810,705 is: 1,218,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,543 : 810,705 = 810,705 : x
  2. Step 2: Convert to fraction form
    539,543/810,705 = 810,705/x
  3. Step 3: Cross multiply
    539,543x = 810,705 × 810,705
  4. Step 4: Simplify right side
    539,543x = 657,242,597,025
  5. Step 5: Solve for x
    x = 657,242,597,025/539,543
  6. Step 6: Final answer
    x = 1,218,146.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.