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Finding the Third Proportional to 282,383 and 579,798

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Solution

The third proportional to 282,383 and 579,798 is: 1,190,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,383 : 579,798 = 579,798 : x
  2. Step 2: Convert to fraction form
    282,383/579,798 = 579,798/x
  3. Step 3: Cross multiply
    282,383x = 579,798 × 579,798
  4. Step 4: Simplify right side
    282,383x = 336,165,720,804
  5. Step 5: Solve for x
    x = 336,165,720,804/282,383
  6. Step 6: Final answer
    x = 1,190,460.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.