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Finding the Third Proportional to 683,334 and 998,664

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Solution

The third proportional to 683,334 and 998,664 is: 1,459,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,334 : 998,664 = 998,664 : x
  2. Step 2: Convert to fraction form
    683,334/998,664 = 998,664/x
  3. Step 3: Cross multiply
    683,334x = 998,664 × 998,664
  4. Step 4: Simplify right side
    683,334x = 997,329,784,896
  5. Step 5: Solve for x
    x = 997,329,784,896/683,334
  6. Step 6: Final answer
    x = 1,459,505.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.