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Finding the Third Proportional to 458,994 and 701,651

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Solution

The third proportional to 458,994 and 701,651 is: 1,072,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,994 : 701,651 = 701,651 : x
  2. Step 2: Convert to fraction form
    458,994/701,651 = 701,651/x
  3. Step 3: Cross multiply
    458,994x = 701,651 × 701,651
  4. Step 4: Simplify right side
    458,994x = 492,314,125,801
  5. Step 5: Solve for x
    x = 492,314,125,801/458,994
  6. Step 6: Final answer
    x = 1,072,593.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.