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Finding the Third Proportional to 183,762 and 404,772

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Solution

The third proportional to 183,762 and 404,772 is: 891,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,762 : 404,772 = 404,772 : x
  2. Step 2: Convert to fraction form
    183,762/404,772 = 404,772/x
  3. Step 3: Cross multiply
    183,762x = 404,772 × 404,772
  4. Step 4: Simplify right side
    183,762x = 163,840,371,984
  5. Step 5: Solve for x
    x = 163,840,371,984/183,762
  6. Step 6: Final answer
    x = 891,590.06

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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.