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Finding the Third Proportional to 314,381.25 and 483,816.80

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Solution

The third proportional to 314,381.25 and 483,816.80 is: 744,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,381.25 : 483,816.80 = 483,816.80 : x
  2. Step 2: Convert to fraction form
    314,381.25/483,816.80 = 483,816.80/x
  3. Step 3: Cross multiply
    314,381.25x = 483,816.80 × 483,816.80
  4. Step 4: Simplify right side
    314,381.25x = 234,078,692,938.39
  5. Step 5: Solve for x
    x = 234,078,692,938.39/314,381.25
  6. Step 6: Final answer
    x = 744,569.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.