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Finding the Third Proportional to 458,996 and 701,654

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Solution

The third proportional to 458,996 and 701,654 is: 1,072,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,996 : 701,654 = 701,654 : x
  2. Step 2: Convert to fraction form
    458,996/701,654 = 701,654/x
  3. Step 3: Cross multiply
    458,996x = 701,654 × 701,654
  4. Step 4: Simplify right side
    458,996x = 492,318,335,716
  5. Step 5: Solve for x
    x = 492,318,335,716/458,996
  6. Step 6: Final answer
    x = 1,072,598.31

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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.