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Finding the Third Proportional to 304,163 and 661,840

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Solution

The third proportional to 304,163 and 661,840 is: 1,440,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,163 : 661,840 = 661,840 : x
  2. Step 2: Convert to fraction form
    304,163/661,840 = 661,840/x
  3. Step 3: Cross multiply
    304,163x = 661,840 × 661,840
  4. Step 4: Simplify right side
    304,163x = 438,032,185,600
  5. Step 5: Solve for x
    x = 438,032,185,600/304,163
  6. Step 6: Final answer
    x = 1,440,123.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.