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Finding the Third Proportional to 473,430 and 665,914.50

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Solution

The third proportional to 473,430 and 665,914.50 is: 936,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,430 : 665,914.50 = 665,914.50 : x
  2. Step 2: Convert to fraction form
    473,430/665,914.50 = 665,914.50/x
  3. Step 3: Cross multiply
    473,430x = 665,914.50 × 665,914.50
  4. Step 4: Simplify right side
    473,430x = 443,442,121,310.25
  5. Step 5: Solve for x
    x = 443,442,121,310.25/473,430
  6. Step 6: Final answer
    x = 936,658.26

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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.