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Finding the Third Proportional to 184,817 and 402,804

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Solution

The third proportional to 184,817 and 402,804 is: 877,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,817 : 402,804 = 402,804 : x
  2. Step 2: Convert to fraction form
    184,817/402,804 = 402,804/x
  3. Step 3: Cross multiply
    184,817x = 402,804 × 402,804
  4. Step 4: Simplify right side
    184,817x = 162,251,062,416
  5. Step 5: Solve for x
    x = 162,251,062,416/184,817
  6. Step 6: Final answer
    x = 877,901.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.