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Finding the Third Proportional to 307,476.75 and 634,648.50

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Solution

The third proportional to 307,476.75 and 634,648.50 is: 1,309,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,476.75 : 634,648.50 = 634,648.50 : x
  2. Step 2: Convert to fraction form
    307,476.75/634,648.50 = 634,648.50/x
  3. Step 3: Cross multiply
    307,476.75x = 634,648.50 × 634,648.50
  4. Step 4: Simplify right side
    307,476.75x = 402,778,718,552.25
  5. Step 5: Solve for x
    x = 402,778,718,552.25/307,476.75
  6. Step 6: Final answer
    x = 1,309,948.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.