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Finding the Third Proportional to 332,715 and 470,773.50

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Solution

The third proportional to 332,715 and 470,773.50 is: 666,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,715 : 470,773.50 = 470,773.50 : x
  2. Step 2: Convert to fraction form
    332,715/470,773.50 = 470,773.50/x
  3. Step 3: Cross multiply
    332,715x = 470,773.50 × 470,773.50
  4. Step 4: Simplify right side
    332,715x = 221,627,688,302.25
  5. Step 5: Solve for x
    x = 221,627,688,302.25/332,715
  6. Step 6: Final answer
    x = 666,118.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.