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Finding the Third Proportional to 368,798 and 556,588

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Solution

The third proportional to 368,798 and 556,588 is: 839,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,798 : 556,588 = 556,588 : x
  2. Step 2: Convert to fraction form
    368,798/556,588 = 556,588/x
  3. Step 3: Cross multiply
    368,798x = 556,588 × 556,588
  4. Step 4: Simplify right side
    368,798x = 309,790,201,744
  5. Step 5: Solve for x
    x = 309,790,201,744/368,798
  6. Step 6: Final answer
    x = 839,999.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.