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Finding the Third Proportional to 305,211 and 473,152.50

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Solution

The third proportional to 305,211 and 473,152.50 is: 733,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211 : 473,152.50 = 473,152.50 : x
  2. Step 2: Convert to fraction form
    305,211/473,152.50 = 473,152.50/x
  3. Step 3: Cross multiply
    305,211x = 473,152.50 × 473,152.50
  4. Step 4: Simplify right side
    305,211x = 223,873,288,256.25
  5. Step 5: Solve for x
    x = 223,873,288,256.25/305,211
  6. Step 6: Final answer
    x = 733,503.34

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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.