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Finding the Third Proportional to 304,246 and 472,963

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Solution

The third proportional to 304,246 and 472,963 is: 735,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,246 : 472,963 = 472,963 : x
  2. Step 2: Convert to fraction form
    304,246/472,963 = 472,963/x
  3. Step 3: Cross multiply
    304,246x = 472,963 × 472,963
  4. Step 4: Simplify right side
    304,246x = 223,693,999,369
  5. Step 5: Solve for x
    x = 223,693,999,369/304,246
  6. Step 6: Final answer
    x = 735,240.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.