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Finding the Third Proportional to 304,642 and 661,124

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Solution

The third proportional to 304,642 and 661,124 is: 1,434,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,642 : 661,124 = 661,124 : x
  2. Step 2: Convert to fraction form
    304,642/661,124 = 661,124/x
  3. Step 3: Cross multiply
    304,642x = 661,124 × 661,124
  4. Step 4: Simplify right side
    304,642x = 437,084,943,376
  5. Step 5: Solve for x
    x = 437,084,943,376/304,642
  6. Step 6: Final answer
    x = 1,434,749.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.