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Finding the Third Proportional to 185,362 and 407,588

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Solution

The third proportional to 185,362 and 407,588 is: 896,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,362 : 407,588 = 407,588 : x
  2. Step 2: Convert to fraction form
    185,362/407,588 = 407,588/x
  3. Step 3: Cross multiply
    185,362x = 407,588 × 407,588
  4. Step 4: Simplify right side
    185,362x = 166,127,977,744
  5. Step 5: Solve for x
    x = 166,127,977,744/185,362
  6. Step 6: Final answer
    x = 896,235.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.