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Finding the Third Proportional to 306,848.25 and 656,343

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Solution

The third proportional to 306,848.25 and 656,343 is: 1,403,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,848.25 : 656,343 = 656,343 : x
  2. Step 2: Convert to fraction form
    306,848.25/656,343 = 656,343/x
  3. Step 3: Cross multiply
    306,848.25x = 656,343 × 656,343
  4. Step 4: Simplify right side
    306,848.25x = 430,786,133,649
  5. Step 5: Solve for x
    x = 430,786,133,649/306,848.25
  6. Step 6: Final answer
    x = 1,403,906.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.