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Finding the Third Proportional to 463,583.25 and 701,875.13

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Solution

The third proportional to 463,583.25 and 701,875.13 is: 1,062,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,583.25 : 701,875.13 = 701,875.13 : x
  2. Step 2: Convert to fraction form
    463,583.25/701,875.13 = 701,875.13/x
  3. Step 3: Cross multiply
    463,583.25x = 701,875.13 × 701,875.13
  4. Step 4: Simplify right side
    463,583.25x = 492,628,691,093.77
  5. Step 5: Solve for x
    x = 492,628,691,093.77/463,583.25
  6. Step 6: Final answer
    x = 1,062,654.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.