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Finding the Third Proportional to 305,214 and 473,157

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Solution

The third proportional to 305,214 and 473,157 is: 733,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,214 : 473,157 = 473,157 : x
  2. Step 2: Convert to fraction form
    305,214/473,157 = 473,157/x
  3. Step 3: Cross multiply
    305,214x = 473,157 × 473,157
  4. Step 4: Simplify right side
    305,214x = 223,877,546,649
  5. Step 5: Solve for x
    x = 223,877,546,649/305,214
  6. Step 6: Final answer
    x = 733,510.08

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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.