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Finding the Third Proportional to 658,464 and 996,912

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Solution

The third proportional to 658,464 and 996,912 is: 1,509,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,464 : 996,912 = 996,912 : x
  2. Step 2: Convert to fraction form
    658,464/996,912 = 996,912/x
  3. Step 3: Cross multiply
    658,464x = 996,912 × 996,912
  4. Step 4: Simplify right side
    658,464x = 993,833,535,744
  5. Step 5: Solve for x
    x = 993,833,535,744/658,464
  6. Step 6: Final answer
    x = 1,509,320.99

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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.