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Finding the Third Proportional to 183,764 and 404,776

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Solution

The third proportional to 183,764 and 404,776 is: 891,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,764 : 404,776 = 404,776 : x
  2. Step 2: Convert to fraction form
    183,764/404,776 = 404,776/x
  3. Step 3: Cross multiply
    183,764x = 404,776 × 404,776
  4. Step 4: Simplify right side
    183,764x = 163,843,610,176
  5. Step 5: Solve for x
    x = 163,843,610,176/183,764
  6. Step 6: Final answer
    x = 891,597.97

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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.