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Finding the Third Proportional to 631,496.25 and 857,304

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Solution

The third proportional to 631,496.25 and 857,304 is: 1,163,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,496.25 : 857,304 = 857,304 : x
  2. Step 2: Convert to fraction form
    631,496.25/857,304 = 857,304/x
  3. Step 3: Cross multiply
    631,496.25x = 857,304 × 857,304
  4. Step 4: Simplify right side
    631,496.25x = 734,970,148,416
  5. Step 5: Solve for x
    x = 734,970,148,416/631,496.25
  6. Step 6: Final answer
    x = 1,163,855.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.