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Finding the Third Proportional to 460,550 and 701,967

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Solution

The third proportional to 460,550 and 701,967 is: 1,069,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,550 : 701,967 = 701,967 : x
  2. Step 2: Convert to fraction form
    460,550/701,967 = 701,967/x
  3. Step 3: Cross multiply
    460,550x = 701,967 × 701,967
  4. Step 4: Simplify right side
    460,550x = 492,757,669,089
  5. Step 5: Solve for x
    x = 492,757,669,089/460,550
  6. Step 6: Final answer
    x = 1,069,933.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.