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Finding the Third Proportional to 185,014 and 404,629

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Solution

The third proportional to 185,014 and 404,629 is: 884,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,014 : 404,629 = 404,629 : x
  2. Step 2: Convert to fraction form
    185,014/404,629 = 404,629/x
  3. Step 3: Cross multiply
    185,014x = 404,629 × 404,629
  4. Step 4: Simplify right side
    185,014x = 163,724,627,641
  5. Step 5: Solve for x
    x = 163,724,627,641/185,014
  6. Step 6: Final answer
    x = 884,931.02

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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.