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Finding the Third Proportional to 301,914 and 465,304.50

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Solution

The third proportional to 301,914 and 465,304.50 is: 717,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,914 : 465,304.50 = 465,304.50 : x
  2. Step 2: Convert to fraction form
    301,914/465,304.50 = 465,304.50/x
  3. Step 3: Cross multiply
    301,914x = 465,304.50 × 465,304.50
  4. Step 4: Simplify right side
    301,914x = 216,508,277,720.25
  5. Step 5: Solve for x
    x = 216,508,277,720.25/301,914
  6. Step 6: Final answer
    x = 717,119.04

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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.