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Finding the Third Proportional to 369,876 and 556,938

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Solution

The third proportional to 369,876 and 556,938 is: 838,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,876 : 556,938 = 556,938 : x
  2. Step 2: Convert to fraction form
    369,876/556,938 = 556,938/x
  3. Step 3: Cross multiply
    369,876x = 556,938 × 556,938
  4. Step 4: Simplify right side
    369,876x = 310,179,935,844
  5. Step 5: Solve for x
    x = 310,179,935,844/369,876
  6. Step 6: Final answer
    x = 838,605.20

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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.