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Finding the Third Proportional to 451,720.50 and 602,219.25

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Solution

The third proportional to 451,720.50 and 602,219.25 is: 802,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,720.50 : 602,219.25 = 602,219.25 : x
  2. Step 2: Convert to fraction form
    451,720.50/602,219.25 = 602,219.25/x
  3. Step 3: Cross multiply
    451,720.50x = 602,219.25 × 602,219.25
  4. Step 4: Simplify right side
    451,720.50x = 362,668,025,070.56
  5. Step 5: Solve for x
    x = 362,668,025,070.56/451,720.50
  6. Step 6: Final answer
    x = 802,859.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.