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Finding the Third Proportional to 368,798 and 556,589

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Solution

The third proportional to 368,798 and 556,589 is: 840,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,798 : 556,589 = 556,589 : x
  2. Step 2: Convert to fraction form
    368,798/556,589 = 556,589/x
  3. Step 3: Cross multiply
    368,798x = 556,589 × 556,589
  4. Step 4: Simplify right side
    368,798x = 309,791,314,921
  5. Step 5: Solve for x
    x = 309,791,314,921/368,798
  6. Step 6: Final answer
    x = 840,002.70

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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.