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Finding the Third Proportional to 282,129 and 610,276

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Solution

The third proportional to 282,129 and 610,276 is: 1,320,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,129 : 610,276 = 610,276 : x
  2. Step 2: Convert to fraction form
    282,129/610,276 = 610,276/x
  3. Step 3: Cross multiply
    282,129x = 610,276 × 610,276
  4. Step 4: Simplify right side
    282,129x = 372,436,796,176
  5. Step 5: Solve for x
    x = 372,436,796,176/282,129
  6. Step 6: Final answer
    x = 1,320,093.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.