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Finding the Third Proportional to 304,710 and 646,284

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Solution

The third proportional to 304,710 and 646,284 is: 1,370,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,710 : 646,284 = 646,284 : x
  2. Step 2: Convert to fraction form
    304,710/646,284 = 646,284/x
  3. Step 3: Cross multiply
    304,710x = 646,284 × 646,284
  4. Step 4: Simplify right side
    304,710x = 417,683,008,656
  5. Step 5: Solve for x
    x = 417,683,008,656/304,710
  6. Step 6: Final answer
    x = 1,370,755.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.