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Finding the Third Proportional to 470,241 and 704,265

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Solution

The third proportional to 470,241 and 704,265 is: 1,054,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,241 : 704,265 = 704,265 : x
  2. Step 2: Convert to fraction form
    470,241/704,265 = 704,265/x
  3. Step 3: Cross multiply
    470,241x = 704,265 × 704,265
  4. Step 4: Simplify right side
    470,241x = 495,989,190,225
  5. Step 5: Solve for x
    x = 495,989,190,225/470,241
  6. Step 6: Final answer
    x = 1,054,755.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.