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Finding the Third Proportional to 304,164 and 661,842

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Solution

The third proportional to 304,164 and 661,842 is: 1,440,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,164 : 661,842 = 661,842 : x
  2. Step 2: Convert to fraction form
    304,164/661,842 = 661,842/x
  3. Step 3: Cross multiply
    304,164x = 661,842 × 661,842
  4. Step 4: Simplify right side
    304,164x = 438,034,832,964
  5. Step 5: Solve for x
    x = 438,034,832,964/304,164
  6. Step 6: Final answer
    x = 1,440,127.15

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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.