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Finding the Third Proportional to 304,996 and 462,678

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Solution

The third proportional to 304,996 and 462,678 is: 701,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,996 : 462,678 = 462,678 : x
  2. Step 2: Convert to fraction form
    304,996/462,678 = 462,678/x
  3. Step 3: Cross multiply
    304,996x = 462,678 × 462,678
  4. Step 4: Simplify right side
    304,996x = 214,070,931,684
  5. Step 5: Solve for x
    x = 214,070,931,684/304,996
  6. Step 6: Final answer
    x = 701,881.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.