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Finding the Third Proportional to 463,806 and 661,473

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Solution

The third proportional to 463,806 and 661,473 is: 943,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,806 : 661,473 = 661,473 : x
  2. Step 2: Convert to fraction form
    463,806/661,473 = 661,473/x
  3. Step 3: Cross multiply
    463,806x = 661,473 × 661,473
  4. Step 4: Simplify right side
    463,806x = 437,546,529,729
  5. Step 5: Solve for x
    x = 437,546,529,729/463,806
  6. Step 6: Final answer
    x = 943,382.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.