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Finding the Third Proportional to 431,646 and 675,648

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Solution

The third proportional to 431,646 and 675,648 is: 1,057,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,646 : 675,648 = 675,648 : x
  2. Step 2: Convert to fraction form
    431,646/675,648 = 675,648/x
  3. Step 3: Cross multiply
    431,646x = 675,648 × 675,648
  4. Step 4: Simplify right side
    431,646x = 456,500,219,904
  5. Step 5: Solve for x
    x = 456,500,219,904/431,646
  6. Step 6: Final answer
    x = 1,057,580.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.