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Finding the Third Proportional to 322,905 and 703,938

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Solution

The third proportional to 322,905 and 703,938 is: 1,534,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,905 : 703,938 = 703,938 : x
  2. Step 2: Convert to fraction form
    322,905/703,938 = 703,938/x
  3. Step 3: Cross multiply
    322,905x = 703,938 × 703,938
  4. Step 4: Simplify right side
    322,905x = 495,528,707,844
  5. Step 5: Solve for x
    x = 495,528,707,844/322,905
  6. Step 6: Final answer
    x = 1,534,595.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.