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Finding the Third Proportional to 314,271 and 486,524.25

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Solution

The third proportional to 314,271 and 486,524.25 is: 753,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,271 : 486,524.25 = 486,524.25 : x
  2. Step 2: Convert to fraction form
    314,271/486,524.25 = 486,524.25/x
  3. Step 3: Cross multiply
    314,271x = 486,524.25 × 486,524.25
  4. Step 4: Simplify right side
    314,271x = 236,705,845,838.06
  5. Step 5: Solve for x
    x = 236,705,845,838.06/314,271
  6. Step 6: Final answer
    x = 753,190.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.