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Finding the Third Proportional to 184,689 and 404,410

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Solution

The third proportional to 184,689 and 404,410 is: 885,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,689 : 404,410 = 404,410 : x
  2. Step 2: Convert to fraction form
    184,689/404,410 = 404,410/x
  3. Step 3: Cross multiply
    184,689x = 404,410 × 404,410
  4. Step 4: Simplify right side
    184,689x = 163,547,448,100
  5. Step 5: Solve for x
    x = 163,547,448,100/184,689
  6. Step 6: Final answer
    x = 885,528.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.