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Finding the Third Proportional to 405,024 and 886,348.50

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Solution

The third proportional to 405,024 and 886,348.50 is: 1,939,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,024 : 886,348.50 = 886,348.50 : x
  2. Step 2: Convert to fraction form
    405,024/886,348.50 = 886,348.50/x
  3. Step 3: Cross multiply
    405,024x = 886,348.50 × 886,348.50
  4. Step 4: Simplify right side
    405,024x = 785,613,663,452.25
  5. Step 5: Solve for x
    x = 785,613,663,452.25/405,024
  6. Step 6: Final answer
    x = 1,939,671.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.