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Finding the Third Proportional to 370,983 and 688,938

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Solution

The third proportional to 370,983 and 688,938 is: 1,279,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,983 : 688,938 = 688,938 : x
  2. Step 2: Convert to fraction form
    370,983/688,938 = 688,938/x
  3. Step 3: Cross multiply
    370,983x = 688,938 × 688,938
  4. Step 4: Simplify right side
    370,983x = 474,635,567,844
  5. Step 5: Solve for x
    x = 474,635,567,844/370,983
  6. Step 6: Final answer
    x = 1,279,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.