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Finding the Third Proportional to 282,246 and 610,499

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Solution

The third proportional to 282,246 and 610,499 is: 1,320,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,246 : 610,499 = 610,499 : x
  2. Step 2: Convert to fraction form
    282,246/610,499 = 610,499/x
  3. Step 3: Cross multiply
    282,246x = 610,499 × 610,499
  4. Step 4: Simplify right side
    282,246x = 372,709,029,001
  5. Step 5: Solve for x
    x = 372,709,029,001/282,246
  6. Step 6: Final answer
    x = 1,320,511.29

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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.