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Finding the Third Proportional to 304,598 and 660,044

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Solution

The third proportional to 304,598 and 660,044 is: 1,430,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,598 : 660,044 = 660,044 : x
  2. Step 2: Convert to fraction form
    304,598/660,044 = 660,044/x
  3. Step 3: Cross multiply
    304,598x = 660,044 × 660,044
  4. Step 4: Simplify right side
    304,598x = 435,658,081,936
  5. Step 5: Solve for x
    x = 435,658,081,936/304,598
  6. Step 6: Final answer
    x = 1,430,272.30

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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.