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Finding the Third Proportional to 304,516 and 655,692

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Solution

The third proportional to 304,516 and 655,692 is: 1,411,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,516 : 655,692 = 655,692 : x
  2. Step 2: Convert to fraction form
    304,516/655,692 = 655,692/x
  3. Step 3: Cross multiply
    304,516x = 655,692 × 655,692
  4. Step 4: Simplify right side
    304,516x = 429,931,998,864
  5. Step 5: Solve for x
    x = 429,931,998,864/304,516
  6. Step 6: Final answer
    x = 1,411,853.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.