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Finding the Third Proportional to 306,180 and 661,648.50

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Solution

The third proportional to 306,180 and 661,648.50 is: 1,429,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,180 : 661,648.50 = 661,648.50 : x
  2. Step 2: Convert to fraction form
    306,180/661,648.50 = 661,648.50/x
  3. Step 3: Cross multiply
    306,180x = 661,648.50 × 661,648.50
  4. Step 4: Simplify right side
    306,180x = 437,778,737,552.25
  5. Step 5: Solve for x
    x = 437,778,737,552.25/306,180
  6. Step 6: Final answer
    x = 1,429,808.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.